Class information for:
Level 1: CLUSTER ALGEBRA//CLUSTER CATEGORY//AUSLANDER REITEN QUIVER

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
1220 2777 20.3 48%


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
15 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 719832
234 3       JOURNAL OF ALGEBRA//MATHEMATICS//COMMUNICATIONS IN ALGEBRA 48681
552 2             JOURNAL OF ALGEBRA//MATHEMATICS//ALGEBRAS AND REPRESENTATION THEORY 14591
1220 1                   CLUSTER ALGEBRA//CLUSTER CATEGORY//AUSLANDER REITEN QUIVER 2777

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 CLUSTER ALGEBRA authKW 1027334 4% 79% 118
2 CLUSTER CATEGORY authKW 607453 2% 94% 59
3 AUSLANDER REITEN QUIVER authKW 588085 2% 78% 69
4 CLUSTER TILTED ALGEBRA authKW 439759 1% 100% 40
5 SELFINJECTIVE ALGEBRA authKW 407846 1% 95% 39
6 DERIVED EQUIVALENCE authKW 395890 2% 68% 53
7 MATEMAT FAG address 373255 3% 41% 82
8 HALL ALGEBRA authKW 323809 1% 82% 36
9 TILTED ALGEBRAS authKW 320154 1% 94% 31
10 QUIVER REPRESENTATIONS authKW 254899 1% 58% 40

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 144626 97% 1% 2690
2 Mathematics, Applied 7685 22% 0% 602
3 Physics, Mathematical 21 2% 0% 42
4 Computer Science, Software Engineering 4 1% 0% 22
5 Multidisciplinary Sciences -4 0% 0% 2
6 Automation & Control Systems -8 0% 0% 2
7 Operations Research & Management Science -10 0% 0% 2
8 Dermatology -14 0% 0% 1
9 Computer Science, Theory & Methods -15 0% 0% 3
10 Physics, Nuclear -22 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 MATEMAT FAG 373255 3% 41% 82
2 ALGEBRA ZAHLENTHEORIE DISKRETE MATH 87920 1% 33% 24
3 HBEREICH MATH C 68820 0% 52% 12
4 MATEMAT IME 39081 0% 44% 8
5 ALGEBRA ZAHLENTHEORIE 38529 1% 22% 16
6 LMNO 35878 1% 16% 21
7 MATH 26691 37% 0% 1022
8 PHYS THEOR COMMISSARIAT ENERGIE ATOM 24735 0% 75% 3
9 EQUIPE ALGEBRE GEOMETRIE LOG 21988 0% 100% 2
10 GRP ALGEBRA 21988 0% 100% 2

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 ALGEBRAS AND REPRESENTATION THEORY 234964 5% 17% 127
2 JOURNAL OF ALGEBRA 191630 17% 4% 476
3 COMMUNICATIONS IN ALGEBRA 111427 11% 3% 313
4 JOURNAL OF PURE AND APPLIED ALGEBRA 78382 7% 4% 204
5 COLLOQUIUM MATHEMATICUM 31781 2% 7% 44
6 ADVANCES IN MATHEMATICS 16872 3% 2% 85
7 PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY 13077 2% 2% 49
8 JOURNAL OF ALGEBRA AND ITS APPLICATIONS 12441 1% 3% 39
9 ARCHIV DER MATHEMATIK 12189 3% 1% 75
10 JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES 11282 2% 2% 61

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 CLUSTER ALGEBRA 1027334 4% 79% 118 Search CLUSTER+ALGEBRA Search CLUSTER+ALGEBRA
2 CLUSTER CATEGORY 607453 2% 94% 59 Search CLUSTER+CATEGORY Search CLUSTER+CATEGORY
3 AUSLANDER REITEN QUIVER 588085 2% 78% 69 Search AUSLANDER+REITEN+QUIVER Search AUSLANDER+REITEN+QUIVER
4 CLUSTER TILTED ALGEBRA 439759 1% 100% 40 Search CLUSTER+TILTED+ALGEBRA Search CLUSTER+TILTED+ALGEBRA
5 SELFINJECTIVE ALGEBRA 407846 1% 95% 39 Search SELFINJECTIVE+ALGEBRA Search SELFINJECTIVE+ALGEBRA
6 DERIVED EQUIVALENCE 395890 2% 68% 53 Search DERIVED+EQUIVALENCE Search DERIVED+EQUIVALENCE
7 HALL ALGEBRA 323809 1% 82% 36 Search HALL+ALGEBRA Search HALL+ALGEBRA
8 TILTED ALGEBRAS 320154 1% 94% 31 Search TILTED+ALGEBRAS Search TILTED+ALGEBRAS
9 QUIVER REPRESENTATIONS 254899 1% 58% 40 Search QUIVER+REPRESENTATIONS Search QUIVER+REPRESENTATIONS
10 WEIGHTED PROJECTIVE LINE 234533 1% 89% 24 Search WEIGHTED+PROJECTIVE+LINE Search WEIGHTED+PROJECTIVE+LINE

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 MALICKI, P , DE LA PENA, JA , SKOWRONSKI, A , (2015) FINITE CYCLES OF INDECOMPOSABLE MODULES.JOURNAL OF PURE AND APPLIED ALGEBRA. VOL. 219. ISSUE 5. P. 1761 -1799 59 100% 4
2 SIMSON, D , (2016) SYMBOLIC ALGORITHMS COMPUTING GRAM CONGRUENCES IN THE COXETER SPECTRAL CLASSIFICATION OF EDGE-BIPARTITE GRAPHS, I. A GRAM CLASSIFICATION.FUNDAMENTA INFORMATICAE. VOL. 145. ISSUE 1. P. 19 -48 37 93% 3
3 SKOWRONSKI, A , WISNIEWSKI, P , (2016) ON ALGEBRAS OF GENERALIZED STANDARD SEMIREGULAR TYPE.JOURNAL OF ALGEBRA. VOL. 451. ISSUE . P. 401 -460 41 100% 0
4 SIMSON, D , (2016) SYMBOLIC ALGORITHMS COMPUTING GRAM CONGRUENCES IN THE COXETER SPECTRAL CLASSIFICATION OF EDGE-BIPARTITE GRAPHS, II. ISOTROPY MINI-GROUPS.FUNDAMENTA INFORMATICAE. VOL. 145. ISSUE 1. P. 49 -80 38 86% 3
5 SKOWYRSKI, A , (2016) CYCLE-FINITE ALGEBRAS HAVING FINITELY MANY INDECOMPOSABLE MODULES LYING ON SHORT PATHS WITH INJECTIVE SOURCE AND PROJECTIVE TARGET.JOURNAL OF PURE AND APPLIED ALGEBRA. VOL. 220. ISSUE 1. P. 364 -381 40 100% 0
6 BUAN, AB , IYAMA, O , REITEN, I , SCOTT, J , (2009) CLUSTER STRUCTURES FOR 2-CALABI-YAU CATEGORIES AND UNIPOTENT GROUPS.COMPOSITIO MATHEMATICA. VOL. 145. ISSUE 4. P. 1035-1079 41 95% 70
7 AMIOT, C , (2009) CLUSTER CATEGORIES FOR ALGEBRAS OF GLOBAL DIMENSION 2 AND QUIVERS WITH POTENTIAL.ANNALES DE L INSTITUT FOURIER. VOL. 59. ISSUE 6. P. 2525-2590 39 93% 92
8 GASIOREK, M , SIMSON, D , ZAJAC, K , (2016) A GRAM CLASSIFICATION OF NON-NEGATIVE CORANK-TWO LOOP-FREE EDGE-BIPARTITE GRAPHS.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 500. ISSUE . P. 88 -118 34 89% 3
9 BIALKOWSKI, J , SKOWRONSKI, A , (2016) CYCLES OF MODULES AND FINITE REPRESENTATION TYPE.BULLETIN OF THE LONDON MATHEMATICAL SOCIETY. VOL. 48. ISSUE . P. 589 -600 37 100% 0
10 MROZ, A , (2016) CONGRUENCES OF EDGE-BIPARTITE GRAPHS WITH APPLICATIONS TO GROTHENDIECK GROUP RECOGNITION II. COXETER TYPE STUDY.FUNDAMENTA INFORMATICAE. VOL. 146. ISSUE 2. P. 145 -177 34 100% 1

Classes with closest relation at Level 1


Rank Class id link
1 15284 FINITISTIC DIMENSION//QUASI HEREDITARY ALGEBRA//CATEGORY O
2 15423 PURE INJECTIVE MODULE//PURE SEMISIMPLE RING//KRULL SCHMIDT THEOREM
3 4784 PREENVELOPE//PRECOVER//SEMIDUALIZING MODULE
4 11397 CRYSTAL BASES//QUANTUM AFFINE ALGEBRA//DEMAZURE MODULES
5 7888 DERIVED CATEGORY//EXCEPTIONAL COLLECTION//FOURIER MUKAI TRANSFORM
6 6559 MODEL CATEGORY//ALGEBRAIC K THEORY//DG CATEGORIES
7 26152 COXETER FUNCTOR//BELITSKIIS ALGORITHM//INDECOMPOSABLE SYSTEM
8 6211 JOURNAL OF ALGEBRA//MACKEY FUNCTOR//DEFECT GROUP
9 6123 NONCOMMUTATIVE PROJECTIVE GEOMETRY//ARTIN SCHELTER REGULAR ALGEBRA//QUANTUM MATRICES
10 37520 GENERALIZED KUPISCH SERIES//OMEGA ELONGATION//OMEGA PLUS K PROJECTIVE MODULES

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