Class information for:
Level 1: THEORY AND APPLICATIONS OF CATEGORIES//CROSSED MODULE//SEMI ABELIAN CATEGORY

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
8019 1302 20.4 31%


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
9 4 COMPUTER SCIENCE, THEORY & METHODS//COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE//COMPUTER SCIENCE, INFORMATION SYSTEMS 1247339
276 3       FUZZY SETS AND SYSTEMS//ALGEBRA UNIVERSALIS//ROUGH SETS 43335
1635 2             APPLIED CATEGORICAL STRUCTURES//FUZZY TOPOLOGY//FUZZY SETS AND SYSTEMS 6966
8019 1                   THEORY AND APPLICATIONS OF CATEGORIES//CROSSED MODULE//SEMI ABELIAN CATEGORY 1302

Terms with highest relevance score


rank Term termType Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 THEORY AND APPLICATIONS OF CATEGORIES journal 1054393 9% 41% 111
2 CROSSED MODULE authKW 1054008 5% 69% 65
3 SEMI ABELIAN CATEGORY authKW 799799 3% 95% 36
4 APPLIED CATEGORICAL STRUCTURES journal 640649 11% 20% 139
5 PROTOMODULAR CATEGORY authKW 328314 1% 100% 14
6 JOURNAL OF PURE AND APPLIED ALGEBRA journal 298208 21% 5% 272
7 2 CATEGORIES authKW 260655 1% 65% 17
8 RECH MATH PHYS address 258712 3% 28% 40
9 SUBTRACTIVE CATEGORY authKW 257961 1% 100% 11
10 JOURNAL OF HOMOTOPY AND RELATED STRUCTURES journal 240872 4% 22% 47

Web of Science journal categories


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with term
in class
1 Mathematics 63795 94% 0% 1224
2 Mathematics, Applied 12087 38% 0% 501
3 Logic 245 1% 0% 13
4 Computer Science, Theory & Methods 190 4% 0% 52
5 Statistics & Probability 1 1% 0% 10
6 Computer Science, Software Engineering 1 1% 0% 9
7 Ornithology -0 0% 0% 1
8 Materials Science, Textiles -0 0% 0% 1
9 Physics, Mathematical -1 0% 0% 6
10 Philosophy -1 0% 0% 1

Address terms


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 RECH MATH PHYS 258712 3% 28% 40
2 DESENVOLVIMENTO R IDO SUSTENTADO PROD 172681 1% 82% 9
3 MATH PU PL 144971 2% 21% 29
4 ALGEBRA 85108 7% 4% 86
5 ANAL GEOMETRIE ALGEBRE 70353 0% 100% 3
6 VAKGROEP WISKUNDE 70347 0% 50% 6
7 CMUC 61450 3% 7% 35
8 VAKGRP WISKUNDE 51325 1% 24% 9
9 CDRSP 46894 0% 33% 6
10 A RAZMADZE MATH 42173 2% 9% 21

Journals


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 THEORY AND APPLICATIONS OF CATEGORIES 1054393 9% 41% 111
2 APPLIED CATEGORICAL STRUCTURES 640649 11% 20% 139
3 JOURNAL OF PURE AND APPLIED ALGEBRA 298208 21% 5% 272
4 JOURNAL OF HOMOTOPY AND RELATED STRUCTURES 240872 4% 22% 47
5 HOMOLOGY HOMOTOPY AND APPLICATIONS 77579 3% 9% 35
6 ADVANCES IN MATHEMATICS 21125 5% 1% 65
7 K-THEORY 14297 1% 4% 16
8 JOURNAL OF ALGEBRA 8494 5% 1% 69
9 MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY 6133 2% 1% 29
10 JOURNAL OF K-THEORY 5670 1% 3% 8

Author Key Words


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class		 LCSH search Wikipedia search
1 CROSSED MODULE 1054008 5% 69% 65 Search CROSSED+MODULE Search CROSSED+MODULE
2 SEMI ABELIAN CATEGORY 799799 3% 95% 36 Search SEMI+ABELIAN+CATEGORY Search SEMI+ABELIAN+CATEGORY
3 PROTOMODULAR CATEGORY 328314 1% 100% 14 Search PROTOMODULAR+CATEGORY Search PROTOMODULAR+CATEGORY
4 2 CATEGORIES 260655 1% 65% 17 Search 2+CATEGORIES Search 2+CATEGORIES
5 SUBTRACTIVE CATEGORY 257961 1% 100% 11 Search SUBTRACTIVE+CATEGORY Search SUBTRACTIVE+CATEGORY
6 2 CROSSED MODULE 236463 1% 92% 11 Search 2+CROSSED+MODULE Search 2+CROSSED+MODULE
7 MALTSEV CATEGORY 236463 1% 92% 11 Search MALTSEV+CATEGORY Search MALTSEV+CATEGORY
8 INTERNAL GROUPOID 234510 1% 100% 10 Search INTERNAL+GROUPOID Search INTERNAL+GROUPOID
9 BICATEGORY 218867 1% 67% 14 Search BICATEGORY Search BICATEGORY
10 CROSSED COMPLEX 213189 1% 91% 10 Search CROSSED+COMPLEX Search CROSSED+COMPLEX

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.


Rank Reference # ref.
in cl.		 Shr. of ref. in
cl.		 Citations
1 RODELO, D , VAN DER LINDEN, T , (2016) HIGHER CENTRAL EXTENSIONS AND COHOMOLOGY.ADVANCES IN MATHEMATICS. VOL. 287. ISSUE . P. 31 -108 36 100% 1
2 CIGOLI, AS , GRAY, JRA , VAN DER LINDEN, T , (2015) ALGEBRAICALLY COHERENT CATEGORIES.THEORY AND APPLICATIONS OF CATEGORIES. VOL. 30. ISSUE . P. 1864 -1905 34 100% 0
3 HARTL, M , VAN DER LINDEN, T , (2013) THE TERNARY COMMUTATOR OBSTRUCTION FOR INTERNAL CROSSED MODULES.ADVANCES IN MATHEMATICS. VOL. 232. ISSUE 1. P. 571-607 29 94% 3
4 MARTINS-FERREIRA, N , MONTOLI, A , (2017) ON THE "SMITH IS HUQ" CONDITION IN S-PROTOMODULAR CATEGORIES.APPLIED CATEGORICAL STRUCTURES. VOL. 25. ISSUE 1. P. 59 -75 14 100% 1
5 EVERAERT, T , GRAN, M , (2015) PROTOADDITIVE FUNCTORS, DERIVED TORSION THEORIES AND HOMOLOGY.JOURNAL OF PURE AND APPLIED ALGEBRA. VOL. 219. ISSUE 8. P. 3629 -3676 23 92% 2
6 GOHLA, B , MARTINS, JF , (2013) POINTED HOMOTOPY AND POINTED LAX HOMOTOPY OF 2-CROSSED MODULE MAPS.ADVANCES IN MATHEMATICS. VOL. 248. ISSUE . P. 986-1049 23 96% 1
7 EVERAERT, T , VAN DER LINDEN, T , (2012) RELATIVE COMMUTATOR THEORY IN SEMI-ABELIAN CATEGORIES.JOURNAL OF PURE AND APPLIED ALGEBRA. VOL. 216. ISSUE 8-9. P. 1791-1806 21 100% 2
8 RODELO, D , VAN DER LINDEN, T , (2012) HIGHER CENTRAL EXTENSIONS VIA COMMUTATORS.THEORY AND APPLICATIONS OF CATEGORIES. VOL. 27. ISSUE . P. 189 -209 21 100% 1
9 PESCHKE, G , VAN DER LINDEN, T , (2016) THE YONEDA ISOMORPHISM COMMUTES WITH HOMOLOGY.JOURNAL OF PURE AND APPLIED ALGEBRA. VOL. 220. ISSUE 2. P. 495 -517 19 100% 0
10 CEGARRA, AM , HEREDIA, BA , (2014) COMPARING GEOMETRIC REALIZATIONS OF TRICATEGORIES.ALGEBRAIC AND GEOMETRIC TOPOLOGY. VOL. 14. ISSUE 4. P. 1997 -2064 21 91% 3

Classes with closest relation at Level 1


Rank Class id link
1 17763 APPROACH SPACE//APPLIED CATEGORICAL STRUCTURES//EFFECTIVE DESCENT MORPHISM
2 6559 MODEL CATEGORY//ALGEBRAIC K THEORY//DG CATEGORIES
3 21072 SCHUR MULTIPLIER//COMMUTATIVITY DEGREE//NON ABELIAN TENSOR SQUARE
4 37103 PARTIAL ENUMERATED SET//ACCEPTABLE NUMERATION//CONSTRUCTIVE FUNCTOR
5 12316 CONSTRUCTIVE MATHEMATICS//FORMAL TOPOLOGY//CONSTRUCTIVE
6 16652 TWISTED K THEORY//GERBE//DIRAC COHOMOLOGY
7 27463 AUGMENTATION IDEAL//AUGMENTATION QUOTIENT//INTEGRAL GROUP RING
8 2116 HOPF ALGEBRA//WEAK HOPF ALGEBRA//YETTER DRINFELD MODULE
9 31499 SECONDARY 14F22//14C22//AFFINE ALGEBRAIC SURFACE
10 17598 COALGEBRA//CHAIR SOFTWARE TECHNOL//FINAL COALGEBRA

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