# MATH 746: Topics in Ring Theory | UW–Madison [View on UW Courses](https://uwcourses.com/courses/MATH_746) ## Dataset ### revision e243353dcb7d79b7247ced91d69443ef4c2a6349 ### repository twangodev/uwcourses ### schema version 6 ### importer version 7 ### projection id 52a78527ff09011d88cb04c7d43867d9fbfec2930bf1dd2ec359ebd2844e0b07 ### observed at 2026-09-07T15:55:43.033547+00:00 ### built at 2026-09-10T19:50:42.743001+00:00 ### courses 8951 ### current instructors 5754 ### limited false ### terms * 1272 * 1264 * 1262 * 1254 * 1252 * 1244 * 1242 * 1234 * 1232 * 1224 * 1222 * 1212 * 1204 * 1202 * 1194 * 1192 * 1184 * 1182 * 1174 * 1172 * 1164 * 1162 * 1154 * 1152 * 1144 * 1142 * 1134 * 1132 * 1124 * 1122 * 1114 * 1112 * 1104 * 1102 * 1094 * 1092 * 1084 * 1082 * 1074 * 1072 ### term 1272 ### departments | subject | count | | --------- | ----- | | AAE | 90 | | ABT | 20 | | ACCTIS | 36 | | ACTSCI | 14 | | AFAERO | 10 | | AFRICAN | 87 | | AFROAMER | 71 | | AGROECOL | 21 | | AMERIND | 53 | | ANAT\&PHY | 7 | | ANATOMY | 2 | | ANESTHES | 8 | | ANSCI | 57 | | ANTHRO | 95 | | ART | 125 | | ARTED | 10 | | ARTHIST | 121 | | ASIALANG | 129 | | ASIAN | 109 | | ASIANAM | 28 | | ASTRON | 38 | | ATMOCN | 69 | | BIOCHEM | 51 | | BIOCORE | 10 | | BIOLOGY | 14 | | BIOMDSCI | 18 | | BME | 66 | | BMI | 41 | | BMOLCHEM | 10 | | BOTANY | 69 | | BSE | 44 | | C\&ESOC | 73 | | CBE | 48 | | CHEM | 101 | | CHICLA | 52 | | CIVENGR | 133 | | CLASSICS | 47 | | CNP | 10 | | CNSRSCI | 50 | | COMARTS | 137 | | COMPBIO | 15 | | COMPLIT | 11 | | COMPSCI | 138 | | COUNPSY | 78 | | CRB | 19 | | CS\&D | 71 | | CSCS | 40 | | CURRIC | 193 | | DANCE | 93 | | DERM | 8 | | DS | 88 | | DYSCI | 35 | | ECE | 155 | | ECON | 145 | | EDPOL | 114 | | EDPSYCH | 97 | | ELPA | 70 | | EMA | 53 | | EMERMED | 17 | | ENGL | 206 | | ENTOM | 40 | | ENVIRST | 148 | | EP | 15 | | EPD | 67 | | ESL | 16 | | F\&WECOL | 60 | | FAMMED | 22 | | FINANCE | 50 | | FOLKLORE | 40 | | FOODSCI | 43 | | FRENCH | 63 | | GEN\&WS | 145 | | GENBUS | 72 | | GENECSLR | 17 | | GENETICS | 60 | | GEOG | 113 | | GEOSCI | 83 | | GERMAN | 82 | | GLE | 48 | | GNS | 38 | | GREEK | 27 | | HDFS | 41 | | HEBR-BIB | 13 | | HEBR-MOD | 10 | | HISTORY | 233 | | HISTSCI | 56 | | HONCOL | 13 | | ILS | 43 | | INFOSYS | 9 | | INTEGART | 7 | | INTEGSCI | 22 | | INTER-AG | 18 | | INTER-HE | 11 | | INTER-LS | 22 | | INTEREGR | 16 | | INTLBUS | 21 | | INTLST | 50 | | ISYE | 83 | | ITALIAN | 53 | | JEWISH | 56 | | JOURN | 88 | | KINES | 128 | | LACIS | 26 | | LANDARC | 61 | | LATIN | 24 | | LAW | 120 | | LEGALST | 48 | | LINGUIS | 35 | | LIS | 89 | | LITTRANS | 78 | | LSC | 52 | | M\&ENVTOX | 7 | | MARKETNG | 62 | | MATH | 153 | | MDGENET | 8 | | ME | 130 | | MEDHIST | 43 | | MEDICINE | 60 | | MEDIEVAL | 32 | | MEDPHYS | 39 | | MEDSC-M | 29 | | MEDSC-V | 41 | | MHR | 68 | | MICROBIO | 45 | | MILSCI | 16 | | MM\&I | 22 | | MOLBIOL | 6 | | MS\&E | 59 | | MUSIC | 165 | | MUSPERF | 126 | | NAVSCI | 20 | | NE | 44 | | NEURODPT | 11 | | NEUROL | 7 | | NEURSURG | 4 | | NTP | 11 | | NURSING | 111 | | NUTRSCI | 65 | | OBS\&GYN | 18 | | OCCTHER | 39 | | ONCOLOGY | 14 | | OPHTHALM | 5 | | OTM | 43 | | PATH | 34 | | PATH-BIO | 29 | | PEDIAT | 26 | | PHARMACY | 31 | | PHILOS | 77 | | PHMCOL-M | 11 | | PHMPRAC | 45 | | PHMSCI | 60 | | PHYASST | 37 | | PHYSICS | 88 | | PHYSIOL | 3 | | PHYTHER | 37 | | PLANTSCI | 52 | | PLPATH | 35 | | POLISCI | 192 | | POPHLTH | 58 | | PORTUG | 33 | | PSYCH | 101 | | PSYCHIAT | 22 | | PUBAFFR | 54 | | PUBLHLTH | 23 | | RADIOL | 11 | | REALEST | 41 | | RELIGST | 90 | | RHABMED | 9 | | RMI | 24 | | RP\&SE | 102 | | S\&APHM | 17 | | SCANDST | 73 | | SLAVIC | 89 | | SOC | 149 | | SOCWORK | 87 | | SOILSCI | 46 | | SPANISH | 83 | | SRMED | 21 | | STAT | 94 | | STDYABRD | 52 | | STS | 8 | | SURGERY | 25 | | SURGSCI | 33 | | THEATRE | 91 | | URBRPL | 60 | | UROLOGY | 5 | | ZOOLOGY | 89 | ## course ### run id 20260907T155543-ce3781c4 ### semester 1272 ### observed at 2026-09-07 15:55:43.033547+00:00 ### record version id 83db81564af89666799b8b255bb3472c957c5085067126e0091ceca4bee22f55 ### course id MATH 746 ### course uid course\_99dcab8a562a4289e3e332a3 ### catalog version id f9d3b212b86fecf80ecb4bd8873fd1efae83f7c3399c0f94a3cb70ba22fa9145 ### course number 746 ### subjects * MATH ### title TOPICS IN RING THEORY ### description Will alternate between commutative and noncommutative ring theory. Commutative topics include localization; local rings; dimension theory; Cohen-Macaulay rings. Noncommutative topics include projective modules; injective modules; flat modules; homological and global dimension; Wedderburn and Goldie rings. Basic graduate algebra courses (e.g.MATH 741and742) are strongly recommended. ### requirements text Graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program ### credit offering ids None recorded. ### llm job id enrich-8b774950c2b6adfdc46d1b82 ### llm output id b7772b70a1ad95a2a0571b2bd0394e2a9c011679d04c95943c088344454e7155 ### llm model nvidia/Qwen3.6-35B-A3B-NVFP4 ### llm model revision 1355db6a052410cfd62085d94b58866fd0f2c3c5 ### llm task version 14 ### llm search status valid ### llm summary Topics in Ring Theory covers commutative and noncommutative ring theory, including localization, dimension theory, and module theory. ### llm topics * Commutative ring theory: localization, local rings, dimension theory, Cohen-Macaulay rings * Noncommutative ring theory: projective/injective/flat modules, homological/global dimension, Wedderburn and Goldie rings ### llm skills * Understanding commutative ring theory topics including localization, local rings, dimension theory, and Cohen-Macaulay rings. * Understanding noncommutative ring theory topics including projective, injective, and flat modules, homological and global dimension, and Wedderburn and Goldie rings. ### llm assumed background * Basic graduate algebra, specifically MATH 741 and MATH 742, is strongly recommended. ### llm search phrases * commutative ring theory * noncommutative ring theory * homological algebra * graduate algebra topics ### llm requirements status valid ### llm student summary status valid ### llm experience status insufficient\_evidence ### catalog variants None recorded. ### student summary #### context hash 5143d98dfb25db2117b4c2d50ed2597c61ef54434716275462496fd5d2dcf149 #### course id MATH 746 #### current instructors None recorded. #### difficulty workload None recorded. #### errors None recorded. #### historical context None recorded. #### message No course-specific reviews available #### offered false #### profile hash 5cb4dabf887cdbcd8c00d5a1312e10828b95c63f30bc3ea76aea199565390d02 #### quick take Recent recorded grades — Spring 2016: 4.00 GPA, 100.0% A/AB (n=15 letter grades); Fall 2021: 4.00 GPA, 100.0% A/AB (n=21 letter grades); Fall 2023: 4.00 GPA, 100.0% A/AB (n=22 letter grades). ```json { "citations": [ { "course_id": "MATH 746", "run_id": "20260907T155543-ce3781c4", "source_record": { "entity_id": "21b8be21-08c7-3023-b585-21a9f7dcd970", "file": "tables/observations.parquet", "kind": "grades", "source": "madgrades" }, "table": "grades_latest", "term_id": "1164", "type": "grade" }, { "course_id": "MATH 746", "run_id": "20260907T155543-ce3781c4", "source_record": { "entity_id": "21b8be21-08c7-3023-b585-21a9f7dcd970", "file": "tables/observations.parquet", "kind": "grades", "source": "madgrades" }, "table": "grades_latest", "term_id": "1222", "type": "grade" }, { "course_id": "MATH 746", "run_id": "20260907T155543-ce3781c4", "source_record": { "entity_id": "21b8be21-08c7-3023-b585-21a9f7dcd970", 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"passed": 0, "incomplete": 0, "no_work": 0, "not_reported": 0, "other": 0, "total": 22, "source_aliases": [ "MATH 746" ] } ] ``` ### statistics #### gpa 3.957 #### graded 127 #### counts * 121 * 3 * 2 * 0 * 1 * 0 * 0 ### grade conflicts None recorded. ### evidence #### history * [/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/history/course\_99dcab8a562a4289e3e332a3-0.json](https://uwcourses.com/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/history/course_99dcab8a562a4289e3e332a3-0.json) #### traces * [/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/traces/course\_99dcab8a562a4289e3e332a3-0.json](https://uwcourses.com/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/traces/course_99dcab8a562a4289e3e332a3-0.json) #### results * [/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/results/course\_99dcab8a562a4289e3e332a3-0.json](https://uwcourses.com/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/results/course_99dcab8a562a4289e3e332a3-0.json) ### revision e243353dcb7d79b7247ced91d69443ef4c2a6349 ## context ### all #### term #### gpa 3.956692913385827 #### count 127 #### university ##### size 3151 ##### gpa Percentile 88 ##### count Percentile 61 ##### median Count 90 ##### histogram | range | count | current | | ------- | ----- | ------- | | 0.0–0.4 | 0 | false | | 0.4–0.8 | 0 | false | | 0.8–1.2 | 0 | false | | 1.2–1.6 | 0 | false | | 1.6–2.0 | 0 | false | | 2.0–2.4 | 1 | false | | 2.4–2.8 | 25 | false | | 2.8–3.2 | 345 | false | | 3.2–3.6 | 1028 | false | | 3.6–4.0 | 1752 | true | #### departments ```json [ { "subject": "MATH", "comparison": { "size": 83, "gpaPercentile": 87, "countPercentile": 65, "medianCount": 91, "histogram": [ { "range": "0.0–0.4", "count": 0, "current": false }, { "range": "0.4–0.8", "count": 0, "current": false }, { "range": "0.8–1.2", "count": 0, "current": false }, { "range": "1.2–1.6", "count": 0, "current": false }, { "range": "1.6–2.0", "count": 0, "current": false }, { "range": "2.0–2.4", "count": 1, "current": false }, { "range": "2.4–2.8", "count": 6, "current": false }, { "range": "2.8–3.2", "count": 28, "current": false }, { "range": "3.2–3.6", "count": 24, "current": false }, { "range": "3.6–4.0", "count": 24, "current": true } ] } } ] ``` ### terms #### 1092 ##### term 1092 ##### gpa 4 ##### count 31 ##### university ###### size 732 ###### gpa Percentile 97 ###### count Percentile 3 ###### median Count 70 ###### histogram | range | count | current | | ------- | ----- | ------- | | 0.0–0.4 | 0 | false | | 0.4–0.8 | 0 | false | | 0.8–1.2 | 0 | false | | 1.2–1.6 | 0 | false | | 1.6–2.0 | 0 | false | | 2.0–2.4 | 1 | false | | 2.4–2.8 | 41 | false | | 2.8–3.2 | 208 | false | | 3.2–3.6 | 271 | false | | 3.6–4.0 | 211 | true | ##### departments ```json [ { "subject": "MATH", "comparison": { "size": 22, "gpaPercentile": 100, "countPercentile": 0, "medianCount": 131, "histogram": [ { "range": "0.0–0.4", "count": 0, "current": false }, { "range": "0.4–0.8", "count": 0, "current": false }, { "range": "0.8–1.2", "count": 0, "current": false }, { "range": "1.2–1.6", "count": 0, "current": false }, { "range": "1.6–2.0", "count": 0, "current": false }, { "range": "2.0–2.4", "count": 1, "current": false }, { "range": "2.4–2.8", "count": 9, "current": false }, { "range": "2.8–3.2", "count": 10, "current": false }, { "range": "3.2–3.6", "count": 1, "current": false }, { "range": "3.6–4.0", "count": 1, "current": true } ] } } ] ``` #### 1112 ##### term 1112 ##### gpa 3.8529411764705883 ##### count 17 ##### departments | subject | comparison | | ------- | ---------- | | MATH | | #### 1144 ##### term 1144 ##### gpa 3.857142857142857 ##### count 21 ##### departments | subject | comparison | | ------- | ---------- | | MATH | | #### 1164 ##### term 1164 ##### gpa 4 ##### count 15 ##### departments | subject | comparison | | ------- | ---------- | | MATH | | #### 1222 ##### term 1222 ##### gpa 4 ##### count 21 ##### departments | subject | comparison | | ------- | ---------- | | MATH | | #### 1242 ##### term 1242 ##### gpa 4 ##### count 22 ##### departments | subject | comparison | | ------- | ---------- | | MATH | | ### benchmarks #### all ##### school ###### size 3151 ###### gpa 3.603808446774275 ###### top Share 78.39526422055008 ###### count 90 ##### MATH ###### size 83 ###### gpa 3.3750900402258863 ###### top Share 65.3007963341303 ###### count 91 #### terms ##### 1092 ###### school ###### size 732 ###### gpa 3.374660709520374 ###### top Share 63.690339324346596 ###### count 70 ###### MATH ###### size 22 ###### gpa 2.8820162698417926 ###### top Share 39.71597770466243 ###### count 131 ##### 1112 ###### school ###### size 805 ###### gpa 3.3737773184830386 ###### top Share 63.91039244872789 ###### count 66 ###### MATH ###### size 26 ###### gpa 2.9941347625171355 ###### top Share 43.79682105650899 ###### count 87 ##### 1144 ###### school ###### size 878 ###### gpa 3.4092443327803017 ###### top Share 65.95978235963416 ###### count 64 ###### MATH ###### size 30 ###### gpa 2.926152797086596 ###### top Share 42.17363619414386 ###### count 79 ##### 1164 ###### school ###### size 965 ###### gpa 3.46491230798535 ###### top Share 69.92376287143657 ###### count 68 ###### MATH ###### size 32 ###### gpa 2.995223360849456 ###### top Share 46.38098813836469 ###### count 83 ##### 1222 ###### school ###### size 1157 ###### gpa 3.563052311875811 ###### top Share 76.64869058732418 ###### count 64 ###### MATH ###### size 39 ###### gpa 3.2083447119296955 ###### top Share 56.75007696473496 ###### count 63 ##### 1242 ###### school ###### size 1295 ###### gpa 3.595302892737449 ###### top Share 78.36291889885307 ###### count 67 ###### MATH ###### size 43 ###### gpa 3.2449031633350183 ###### top Share 58.03783489438137 ###### count 80 ## instructor Trends ```json [ { "uid": "instructor_71ef50f4a56c330c438c8692", "name": "DANIEL ERMAN", "count": 42, "terms": [ { "term": "1144", "count": 21, "sections": 1, "gpa": 3.857142857142857 }, { "term": "1222", "count": 21, "sections": 1, "gpa": 4 } ] }, { "uid": "instructor_0660857dda9aca7c6088b09a", "name": "DONALD PASSMAN", "count": 31, "terms": [ { "term": "1092", "count": 31, "sections": 1, "gpa": 4 } ] }, { "uid": "instructor_65da733714b2ad5c9be740c6", "name": "ALEKSANDRA SOBIESKA", "count": 22, "terms": [ { "term": "1242", "count": 22, "sections": 1, "gpa": 4 } ] }, { "uid": "instructor_59aac856cf6ad4bb42c17bff", "name": "ANDREI CALDARARU", "count": 17, "terms": [ { "term": "1112", "count": 17, "sections": 1, "gpa": 3.8529411764705883 } ] }, { "uid": "instructor_c513d17e5fc9a64193e0c6e5", "name": "STEVEN SAM", "count": 15, "terms": [ { "term": "1164", "count": 15, "sections": 1, "gpa": 4 } ] } ] ``` ## following None recorded.