Class information for:
Level 1: PURE INJECTIVE MODULE//KRULL SCHMIDT THEOREM//DEDEKIND LIKE RING

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
106 3       MATHEMATICS//COMMUNICATIONS IN ALGEBRA//MATH 74336
589 2             COMMUNICATIONS IN ALGEBRA//MATHEMATICS//JOURNAL OF ALGEBRA 14653
13323 1                   PURE INJECTIVE MODULE//KRULL SCHMIDT THEOREM//DEDEKIND LIKE RING 875

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 PURE INJECTIVE MODULE authKW 531936 3% 62% 24
2 KRULL SCHMIDT THEOREM authKW 327432 1% 91% 10
3 DEDEKIND LIKE RING authKW 324160 1% 100% 9
4 PURE SEMISIMPLE RING authKW 311291 1% 79% 11
5 ZIEGLER SPECTRUM authKW 272377 1% 69% 11
6 KRULL GABRIEL DIMENSION authKW 230510 1% 80% 8
7 DIRECT SUM DECOMPOSITION authKW 190203 1% 41% 13
8 SEMILOCAL RING authKW 184162 2% 34% 15
9 ENDOFINITE MODULE authKW 180089 1% 100% 5
10 OUTER TENSOR PRODUCT authKW 180089 1% 100% 5

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 47476 99% 0% 867
2 Logic 6560 6% 0% 53
3 Mathematics, Applied 2538 22% 0% 194
4 Multidisciplinary Sciences -0 0% 0% 2
5 Statistics & Probability -0 0% 0% 4
6 Computer Science, Theory & Methods -2 0% 0% 3
7 Automation & Control Systems -2 0% 0% 1
8 Operations Research & Management Science -3 0% 0% 1
9 Mathematics, Interdisciplinary Applications -3 0% 0% 1
10 Computer Science, Interdisciplinary Applications -4 0% 0% 1

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 MATH MECAN 37037 1% 17% 6
2 CNRS MATH NICOLAS O ME 36018 0% 100% 1
3 CNRS UMR LMNO 6139 36018 0% 100% 1
4 LOGIK 36018 0% 100% 1
5 MATEMAT WISSEN RECHNEN 36018 0% 100% 1
6 MATH MECHNICOLAS ORSEME 36018 0% 100% 1
7 MATH O ME 36018 0% 100% 1
8 MATH WISSEN AFTLICHES RECH 36018 0% 100% 1
9 UMR 6139 MATH NICOLAS O ME 36018 0% 100% 1
10 DIPARTIMENTO MATEMAT PURA PLICATA 27747 4% 2% 34

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 COMMUNICATIONS IN ALGEBRA 68606 16% 1% 137
2 JOURNAL OF ALGEBRA 50203 16% 1% 136
3 JOURNAL OF PURE AND APPLIED ALGEBRA 48262 10% 2% 89
4 COLLOQUIUM MATHEMATICUM 19916 2% 3% 20
5 ALGEBRAS AND REPRESENTATION THEORY 11685 2% 2% 16
6 JOURNAL OF ALGEBRA AND ITS APPLICATIONS 10735 2% 1% 21
7 JOURNAL OF SYMBOLIC LOGIC 5367 2% 1% 21
8 ARCHIV DER MATHEMATIK 5109 3% 1% 27
9 JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES 3924 2% 1% 20
10 ALGEBRA AND LOGIC 3725 1% 2% 6

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 PURE INJECTIVE MODULE 531936 3% 62% 24 Search PURE+INJECTIVE+MODULE Search PURE+INJECTIVE+MODULE
2 KRULL SCHMIDT THEOREM 327432 1% 91% 10 Search KRULL+SCHMIDT+THEOREM Search KRULL+SCHMIDT+THEOREM
3 DEDEKIND LIKE RING 324160 1% 100% 9 Search DEDEKIND+LIKE+RING Search DEDEKIND+LIKE+RING
4 PURE SEMISIMPLE RING 311291 1% 79% 11 Search PURE+SEMISIMPLE+RING Search PURE+SEMISIMPLE+RING
5 ZIEGLER SPECTRUM 272377 1% 69% 11 Search ZIEGLER+SPECTRUM Search ZIEGLER+SPECTRUM
6 KRULL GABRIEL DIMENSION 230510 1% 80% 8 Search KRULL+GABRIEL+DIMENSION Search KRULL+GABRIEL+DIMENSION
7 DIRECT SUM DECOMPOSITION 190203 1% 41% 13 Search DIRECT+SUM+DECOMPOSITION Search DIRECT+SUM+DECOMPOSITION
8 SEMILOCAL RING 184162 2% 34% 15 Search SEMILOCAL+RING Search SEMILOCAL+RING
9 ENDOFINITE MODULE 180089 1% 100% 5 Search ENDOFINITE+MODULE Search ENDOFINITE+MODULE
10 OUTER TENSOR PRODUCT 180089 1% 100% 5 Search OUTER+TENSOR+PRODUCT Search OUTER+TENSOR+PRODUCT

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 5466 PREENVELOPE//PRECOVER//SEMIDUALIZING MODULE
2 992 CLUSTER ALGEBRA//CLUSTER CATEGORY//AUSLANDER REITEN QUIVER
3 31320 CARTESIAN DIAGRAM//FIBRE PRODUCT CATEGORY//GENERALIZED KUPISCH SERIES
4 7651 EXTENDING MODULE//LIFTING MODULE//QF RING
5 7803 EXCHANGE RING//CLEAN RING//ARMENDARIZ RING
6 4310 PRUFER DOMAIN//INTEGER VALUED POLYNOMIALS//STAR OPERATION
7 10657 BUTLER GROUPS//TOTALLY PROJECTIVE GROUPS//E RINGS
8 5407 NONCOMMUTATIVE PROJECTIVE GEOMETRY//ARTIN SCHELTER REGULAR ALGEBRA//CALABI YAU ALGEBRA
9 24195 FILIAL RING//ACCESSIBLE SUBRING//DUBROVIN VALUATION RING
10 7110 ABSTRACT ELEMENTARY CLASSES//JOURNAL OF SYMBOLIC LOGIC//LOGIC

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