Class information for:
Level 2: HOPF ALGEBRA//COMMUNICATIONS IN ALGEBRA//JOURNAL OF ALGEBRA

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
1918 5853 17.7 40%


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
1918 2             HOPF ALGEBRA//COMMUNICATIONS IN ALGEBRA//JOURNAL OF ALGEBRA 5853
2116 1                   HOPF ALGEBRA//WEAK HOPF ALGEBRA//YETTER DRINFELD MODULE 2351
6123 1                   NONCOMMUTATIVE PROJECTIVE GEOMETRY//ARTIN SCHELTER REGULAR ALGEBRA//QUANTUM MATRICES 1526
12465 1                   COMMUNICATIONS IN ALGEBRA//CYCLE SET//SET THEORETIC SOLUTION 904
13158 1                   D MODULES//HYPERGEOMETRIC SYSTEMS//D MODULE 857
31499 1                   SECONDARY 14F22//14C22//AFFINE ALGEBRAIC SURFACE 152
37240 1                   VALUATION FILTRATION//COMPLETION OF FILTERED MODULE//FILTERED AND GRADED REDUCTORS 63

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 HOPF ALGEBRA authKW 672117 5% 43% 303
2 COMMUNICATIONS IN ALGEBRA journal 498196 16% 10% 960
3 JOURNAL OF ALGEBRA journal 369738 16% 7% 960
4 WEAK HOPF ALGEBRA authKW 351097 1% 94% 72
5 MATHEMATICS WoSSC 281987 93% 1% 5457
6 YETTER DRINFELD MODULE authKW 229894 1% 86% 51
7 NICHOLS ALGEBRA authKW 197958 1% 86% 44
8 FUSION CATEGORIES authKW 178897 1% 84% 41
9 DRINFELD DOUBLE authKW 168251 1% 73% 44
10 MONOIDAL CATEGORY authKW 158642 1% 43% 70

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 281987 93% 1% 5457
2 Mathematics, Applied 11622 19% 0% 1088
3 Physics, Mathematical 902 4% 0% 243
4 Multidisciplinary Sciences 13 1% 0% 31
5 Film, Radio, Television 0 0% 0% 2
6 Statistics & Probability -0 1% 0% 31
7 Computer Science, Theory & Methods -1 1% 0% 35
8 Geology -9 0% 0% 1
9 Computer Science, Hardware & Architecture -16 0% 0% 1
10 Automation & Control Systems -21 0% 0% 2

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 ALXEBRA 125878 1% 62% 39
2 ALGEBRA ANAL 77118 0% 53% 28
3 MATH 56687 37% 1% 2162
4 CIEM CONICET 47047 0% 48% 19
5 CIEM 39110 1% 19% 40
6 FAMAF CIEM CONICET 33374 0% 80% 8
7 BEREICH ALGEBRA ZAHLENTHEORIE 30039 0% 52% 11
8 WNI 28329 0% 20% 27
9 ALGEBRA 23447 2% 5% 96
10 MATH INFORMAT PLICAT 22811 0% 26% 17

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 COMMUNICATIONS IN ALGEBRA 498196 16% 10% 960
2 JOURNAL OF ALGEBRA 369738 16% 7% 960
3 ALGEBRAS AND REPRESENTATION THEORY 145188 2% 19% 145
4 JOURNAL OF PURE AND APPLIED ALGEBRA 85704 5% 5% 310
5 JOURNAL OF ALGEBRA AND ITS APPLICATIONS 46178 2% 8% 109
6 APPLIED CATEGORICAL STRUCTURES 22212 1% 8% 55
7 ADVANCES IN MATHEMATICS 16143 2% 3% 121
8 ALGEBRA COLLOQUIUM 14474 1% 5% 57
9 ISRAEL JOURNAL OF MATHEMATICS 13198 2% 3% 98
10 GLASGOW MATHEMATICAL JOURNAL 11094 1% 4% 56

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 HOPF ALGEBRA 672117 5% 43% 303 Search HOPF+ALGEBRA Search HOPF+ALGEBRA
2 WEAK HOPF ALGEBRA 351097 1% 94% 72 Search WEAK+HOPF+ALGEBRA Search WEAK+HOPF+ALGEBRA
3 YETTER DRINFELD MODULE 229894 1% 86% 51 Search YETTER+DRINFELD+MODULE Search YETTER+DRINFELD+MODULE
4 NICHOLS ALGEBRA 197958 1% 86% 44 Search NICHOLS+ALGEBRA Search NICHOLS+ALGEBRA
5 FUSION CATEGORIES 178897 1% 84% 41 Search FUSION+CATEGORIES Search FUSION+CATEGORIES
6 DRINFELD DOUBLE 168251 1% 73% 44 Search DRINFELD+DOUBLE Search DRINFELD+DOUBLE
7 MONOIDAL CATEGORY 158642 1% 43% 70 Search MONOIDAL+CATEGORY Search MONOIDAL+CATEGORY
8 HOM LIE ALGEBRA 120155 0% 96% 24 Search HOM+LIE+ALGEBRA Search HOM+LIE+ALGEBRA
9 COMODULE 117325 1% 75% 30 Search COMODULE Search COMODULE
10 QUASI HOPF ALGEBRA 115531 0% 92% 24 Search QUASI+HOPF+ALGEBRA Search QUASI+HOPF+ALGEBRA

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 NASTASESCU, C , VAN OYSTAEYEN, F , (2004) METHODS OF GRADED RINGS.METHODS OF GRADED RINGS. VOL. 1836. ISSUE . P. 1 -+ 86 92% 0
2 DAI, L , DONG, JC , (2016) ON KAPLANSKY'S SIXTH CONJECTURE.RENDICONTI DEL SEMINARIO MATEMATICO DELLA UNIVERSITA DI PADOVA. VOL. 135. ISSUE . P. 1 -20 36 100% 0
3 BEATTIE, M , (2009) A SURVEY OF HOPF ALGEBRAS OF LOW DIMENSION.ACTA APPLICANDAE MATHEMATICAE. VOL. 108. ISSUE 1. P. 19 -31 41 100% 5
4 MUGER, M , (2010) TENSOR CATEGORIES: A SELECTIVE GUIDED TOUR.REVISTA DE LA UNION MATEMATICA ARGENTINA. VOL. 51. ISSUE 1. P. 95 -163 79 48% 7
5 SHIMIZU, K , (2015) ON INDICATORS OF HOPF ALGEBRAS.ISRAEL JOURNAL OF MATHEMATICS. VOL. 207. ISSUE 1. P. 155 -201 32 97% 0
6 BICHON, J , (2014) HOPF-GALOIS OBJECTS AND COGROUPOIDS.REVISTA DE LA UNION MATEMATICA ARGENTINA. VOL. 55. ISSUE 2. P. 11 -69 40 77% 3
7 ETINGOF, P , NIKSHYCH, D , OSTRIK, V , (2011) WEAKLY GROUP-THEORETICAL AND SOLVABLE FUSION CATEGORIES.ADVANCES IN MATHEMATICS. VOL. 226. ISSUE 1. P. 176 -205 28 97% 52
8 REYES, M , ROGALSKI, D , ZHANG, JJ , (2014) SKEW CALABI-YAU ALGEBRAS AND HOMOLOGICAL IDENTITIES.ADVANCES IN MATHEMATICS. VOL. 264. ISSUE . P. 308 -354 30 88% 11
9 ANDRUSKIEWITSCH, N , CUADRA, J , (2013) ON THE STRUCTURE OF (CO-FROBENIUS) HOPF ALGEBRAS.JOURNAL OF NONCOMMUTATIVE GEOMETRY. VOL. 7. ISSUE 1. P. 83-104 33 85% 6
10 DONG, JC , DAI, L , (2016) EXISTENCE OF TANNAKIAN SUBCATEGORIES AND ITS APPLICATIONS.COMMUNICATIONS IN ALGEBRA. VOL. 44. ISSUE 4. P. 1767 -1782 27 100% 0

Classes with closest relation at Level 2


Rank Class id link
1 552 JOURNAL OF ALGEBRA//MATHEMATICS//ALGEBRAS AND REPRESENTATION THEORY
2 1267 COMMUNICATIONS IN ALGEBRA//MATHEMATICS//PRUFER DOMAIN
3 3307 ZERO DIVISOR GRAPH//S POSET//ZERO DIVISOR
4 1097 PHYSICS, MATHEMATICAL//JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL//BETHE ANSATZ
5 2045 DEFORMATION QUANTIZATION//LEIBNIZ ALGEBRA//LIE ALGEBRA
6 3622 INTEGRAL GROUP RING//GROUP RING//TORSION UNIT
7 631 C ALGEBRA//MATHEMATICS//JOURNAL OF OPERATOR THEORY
8 953 MATHEMATICS//HOMOLOGY HOMOTOPY AND APPLICATIONS//ALGEBRAIC AND GEOMETRIC TOPOLOGY
9 1540 MATHEMATICS//JACOBIAN CONJECTURE//O MINIMAL STRUCTURES
10 1635 APPLIED CATEGORICAL STRUCTURES//FUZZY TOPOLOGY//FUZZY SETS AND SYSTEMS

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