Class information for:
Level 1: BUTLER GROUPS//TOTALLY PROJECTIVE GROUPS//E RINGS

Basic class information

Bar chart of Publication_year

Last years might be incomplete

Hierarchy of classes

The table includes all classes above and classes immediately below the current class.



Cluster id Level Cluster label #P
14 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 912822
458 3       LOGIC//JOURNAL OF SYMBOLIC LOGIC//TOPOLOGY AND ITS APPLICATIONS 26185
3505 2             HILBERTS TENTH PROBLEM//BUTLER GROUPS//TOTALLY PROJECTIVE GROUPS 1550
10657 1                   BUTLER GROUPS//TOTALLY PROJECTIVE GROUPS//E RINGS 1074

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 BUTLER GROUPS authKW 352124 1% 100% 12
2 TOTALLY PROJECTIVE GROUPS authKW 293437 1% 100% 10
3 E RINGS authKW 266759 1% 91% 10
4 CELLULAR COVER authKW 176062 1% 100% 6
5 DIRECT SUMS OF CYCLIC GROUPS authKW 176062 1% 100% 6
6 NORMALIZED UNITS authKW 176062 1% 100% 6
7 QUOTIENT DIVISIBLE GROUP authKW 176062 1% 100% 6
8 SEPARABLE GROUPS authKW 176062 1% 100% 6
9 ENDOMORPHISM RING authKW 155383 2% 21% 25
10 ALGEBRAICALLY COMPACT GROUPS authKW 146718 0% 100% 5

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 56924 98% 0% 1052
2 Mathematics, Applied 2451 20% 0% 213
3 Logic 525 2% 0% 17
4 Poetry 30 0% 0% 2
5 Multidisciplinary Sciences 26 1% 0% 12
6 Art 0 0% 0% 1
7 Humanities, Multidisciplinary -0 0% 0% 1
8 Statistics & Probability -0 0% 0% 5
9 Literature -0 0% 0% 1
10 Chemistry, Medicinal -7 0% 0% 1

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 HBEREICH MATH INFORMAT 6 122350 1% 30% 14
2 AREA GEOMETRIA TOPOL 66016 1% 38% 6
3 HBEREICH 6 43478 1% 11% 13
4 HBEREICH MATH 6 34431 1% 13% 9
5 GRP LOG STAT INFORMAT 29344 0% 100% 1
6 HBEREICH 6 MATH INFORMAT 29344 0% 100% 1
7 INSURANCE SUPERVIS DIRECTORATE 29344 0% 100% 1
8 IST MATEMAT INFORMAT SISTEMIST 29344 0% 100% 1
9 KATEDRA ALEBRY MFF 29344 0% 100% 1
10 CITE 3 16765 0% 29% 2

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 COMMUNICATIONS IN ALGEBRA 67871 14% 2% 151
2 JOURNAL OF ALGEBRA 32310 11% 1% 121
3 HOUSTON JOURNAL OF MATHEMATICS 22454 4% 2% 39
4 ROCKY MOUNTAIN JOURNAL OF MATHEMATICS 20429 4% 2% 46
5 CZECHOSLOVAK MATHEMATICAL JOURNAL 10039 3% 1% 28
6 RENDICONTI DEL SEMINARIO MATEMATICO DELLA UNIVERSITA DI PADOVA 9575 1% 3% 11
7 JOURNAL OF PURE AND APPLIED ALGEBRA 8705 4% 1% 42
8 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 8620 7% 0% 71
9 FORUM MATHEMATICUM 7957 2% 1% 19
10 ARCHIV DER MATHEMATIK 6218 3% 1% 33

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 BUTLER GROUPS 352124 1% 100% 12 Search BUTLER+GROUPS Search BUTLER+GROUPS
2 TOTALLY PROJECTIVE GROUPS 293437 1% 100% 10 Search TOTALLY+PROJECTIVE+GROUPS Search TOTALLY+PROJECTIVE+GROUPS
3 E RINGS 266759 1% 91% 10 Search E+RINGS Search E+RINGS
4 CELLULAR COVER 176062 1% 100% 6 Search CELLULAR+COVER Search CELLULAR+COVER
5 DIRECT SUMS OF CYCLIC GROUPS 176062 1% 100% 6 Search DIRECT+SUMS+OF+CYCLIC+GROUPS Search DIRECT+SUMS+OF+CYCLIC+GROUPS
6 NORMALIZED UNITS 176062 1% 100% 6 Search NORMALIZED+UNITS Search NORMALIZED+UNITS
7 QUOTIENT DIVISIBLE GROUP 176062 1% 100% 6 Search QUOTIENT+DIVISIBLE+GROUP Search QUOTIENT+DIVISIBLE+GROUP
8 SEPARABLE GROUPS 176062 1% 100% 6 Search SEPARABLE+GROUPS Search SEPARABLE+GROUPS
9 ENDOMORPHISM RING 155383 2% 21% 25 Search ENDOMORPHISM+RING Search ENDOMORPHISM+RING
10 ALGEBRAICALLY COMPACT GROUPS 146718 0% 100% 5 Search ALGEBRAICALLY+COMPACT+GROUPS Search ALGEBRAICALLY+COMPACT+GROUPS

Core articles

The table includes core articles in the class. The following variables is taken into account for the relevance score of an article in a cluster c:
(1) Number of references referring to publications in the class.
(2) Share of total number of active references referring to publications in the class.
(3) Age of the article. New articles get higher score than old articles.
(4) Citation rate, normalized to year.

Classes with closest relation at Level 1



rank cluster_id2 link
1 37827 DOMINION//SPECIAL AMALGAM//AXIOMATIC RANK
2 13323 PURE INJECTIVE MODULE//KRULL SCHMIDT THEOREM//DEDEKIND LIKE RING
3 5466 PREENVELOPE//PRECOVER//SEMIDUALIZING MODULE
4 4976 LARGE CARDINALS//SUPERCOMPACT CARDINAL//LOGIC
5 15326 MAXIMAL CONDITION//MINIMAL CONDITION//CONTRANORMAL SUBGROUPS
6 6875 MODEL CATEGORY//DG CATEGORIES//NONCOMMUTATIVE MOTIVES
7 24195 FILIAL RING//ACCESSIBLE SUBRING//DUBROVIN VALUATION RING
8 7651 EXTENDING MODULE//LIFTING MODULE//QF RING
9 29612 LOCAL MULTIPLIER ALGEBRA//RINGS OF QUOTIENTS//AW ASTERISK MODULES
10 7803 EXCHANGE RING//CLEAN RING//ARMENDARIZ RING

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