Class information for:
Level 1: RENNER MONOID//REDUCTIVE MONOID//ALGEBRAIC MONOIDS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
28789 199 15.8 37%


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
2807 2             SEMIGROUP FORUM//TRANSFORMATION SEMIGROUPS//PSEUDOVARIETY 3077
28789 1                   RENNER MONOID//REDUCTIVE MONOID//ALGEBRAIC MONOIDS 199

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 RENNER MONOID authKW 2148221 7% 100% 14
2 REDUCTIVE MONOID authKW 2005004 7% 93% 14
3 ALGEBRAIC MONOIDS authKW 1380999 5% 100% 9
4 CROSS SECTION LATTICE authKW 613777 2% 100% 4
5 RATIONALLY SMOOTH authKW 613777 2% 100% 4
6 BRUHAT CHEVALLEY ORDER authKW 548013 3% 71% 5
7 J IRREDUCIBLE MONOID authKW 460333 2% 100% 3
8 DESCENT SYSTEM authKW 306889 1% 100% 2
9 SYMPLECTIC MONOID authKW 306889 1% 100% 2
10 SYMPLECTIC RENNER MONOID authKW 306889 1% 100% 2

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 10945 99% 0% 198
2 Mathematics, Applied 308 17% 0% 33
3 Statistics & Probability 1 1% 0% 2
4 Physics, Mathematical -0 1% 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 INTEGRATED HUMAN STUDIES MATH 153444 1% 100% 1
2 UMR 5582CNRS 25572 1% 17% 1
3 HBEREICH C MATH 21919 1% 14% 1
4 MIDDLESEX 9080 2% 2% 3
5 NICOLAS O ME 8074 1% 5% 1
6 CNRSUMR 5582 7305 1% 5% 1
7 HBEREICH MATH C 6670 1% 4% 1
8 FAK MATEMAT FIZ 5289 1% 3% 1
9 UMR 6139 3020 1% 1% 2
10 MATH NICOLAS O ME 2748 1% 1% 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 SEMIGROUP FORUM 41467 13% 1% 25
2 JOURNAL OF ALGEBRA 25006 23% 0% 46
3 INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION 17379 6% 1% 11
4 TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 4842 9% 0% 17
5 COMMUNICATIONS IN ALGEBRA 4054 8% 0% 16
6 JOURNAL OF PURE AND APPLIED ALGEBRA 2622 5% 0% 10
7 TRANSFORMATION GROUPS 2469 2% 1% 3
8 JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY 2053 2% 0% 4
9 FORUM MATHEMATICUM 1924 2% 0% 4
10 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 1534 7% 0% 13

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 RENNER MONOID 2148221 7% 100% 14 Search RENNER+MONOID Search RENNER+MONOID
2 REDUCTIVE MONOID 2005004 7% 93% 14 Search REDUCTIVE+MONOID Search REDUCTIVE+MONOID
3 ALGEBRAIC MONOIDS 1380999 5% 100% 9 Search ALGEBRAIC+MONOIDS Search ALGEBRAIC+MONOIDS
4 CROSS SECTION LATTICE 613777 2% 100% 4 Search CROSS+SECTION+LATTICE Search CROSS+SECTION+LATTICE
5 RATIONALLY SMOOTH 613777 2% 100% 4 Search RATIONALLY+SMOOTH Search RATIONALLY+SMOOTH
6 BRUHAT CHEVALLEY ORDER 548013 3% 71% 5 Search BRUHAT+CHEVALLEY+ORDER Search BRUHAT+CHEVALLEY+ORDER
7 J IRREDUCIBLE MONOID 460333 2% 100% 3 Search J+IRREDUCIBLE+MONOID Search J+IRREDUCIBLE+MONOID
8 DESCENT SYSTEM 306889 1% 100% 2 Search DESCENT+SYSTEM Search DESCENT+SYSTEM
9 SYMPLECTIC MONOID 306889 1% 100% 2 Search SYMPLECTIC+MONOID Search SYMPLECTIC+MONOID
10 SYMPLECTIC RENNER MONOID 306889 1% 100% 2 Search SYMPLECTIC+RENNER+MONOID Search SYMPLECTIC+RENNER+MONOID

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 HUANG, WX , (2014) VARIOUS FORMS OF GENERATING SUBSEMIGROUPS IN ALGEBRAIC MONOIDS.COMMUNICATIONS IN ALGEBRA. VOL. 42. ISSUE 9. P. 3833-3851 16 100% 0
2 LI, Z , LI, ZH , CAO, Y , (2009) REPRESENTATIONS OF THE RENNER MONOID.INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION. VOL. 19. ISSUE 4. P. 511-525 15 88% 0
3 PUTCHA, MS , (2006) PARABOLIC MONOIDS I. STRUCTURE.INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION. VOL. 16. ISSUE 6. P. 1109-1129 14 93% 2
4 GODELLE, E , (2011) GENERIC HECKE ALGEBRA FOR RENNER MONOIDS.JOURNAL OF ALGEBRA. VOL. 343. ISSUE 1. P. 224-247 12 92% 2
5 PUTCHA, MS , (2008) NILPOTENT VARIETY OF A REDUCTIVE MONOID.JOURNAL OF ALGEBRAIC COMBINATORICS. VOL. 27. ISSUE 3. P. 275 -292 11 100% 0
6 HUANG, WX , (2011) KERNELS, REGULARITY AND UNIPOTENT RADICALS IN LINEAR ALGEBRAIC MONOIDS.FORUM MATHEMATICUM. VOL. 23. ISSUE 4. P. 803 -834 11 92% 1
7 PUTCHA, MS , (2011) ROOT SEMIGROUPS IN REDUCTIVE MONOIDS.INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION. VOL. 21. ISSUE 3. P. 433-448 10 100% 1
8 HUANG, WX , (2011) PARABOLIC SUBGROUPS AND ALGEBRAIC MONOIDS.JOURNAL OF ALGEBRA. VOL. 336. ISSUE 1. P. 227 -235 10 100% 1
9 CAO, YA , LI, ZH , LI, Z , (2010) CONJUGACY CLASSES IN THE SYMPLECTIC RENNER MONOID.JOURNAL OF ALGEBRA. VOL. 324. ISSUE 8. P. 1940-1951 10 100% 0
10 HUANG, WX , (2001) REDUCTIVE AND SEMISIMPLE ALGEBRAIC MONOIDS.FORUM MATHEMATICUM. VOL. 13. ISSUE 4. P. 495-504 12 100% 3

Classes with closest relation at Level 1


Rank Class id link
1 29338 REWRITABLE GROUPS//NON NILPOTENT SUBGROUP//NON ABELIAN SUBGROUP
2 16888 TRANSFORMATION SEMIGROUPS//IDEMPOTENT RANK//SEMIGROUP FORUM
3 16033 SPHERICAL VARIETIES//COX RING//WONDERFUL VARIETIES
4 10024 BRUHAT ORDER//SCHUBERT VARIETIES//SCHUBERT POLYNOMIALS
5 12167 GROBNER SHIRSHOV BASIS//QUASI SYMMETRIC FUNCTIONS//ROTA BAXTER ALGEBRA
6 12465 COMMUNICATIONS IN ALGEBRA//CYCLE SET//SET THEORETIC SOLUTION
7 27891 SIMPLICIAL VOLUME//SELF HOMOTOPY EQUIVALENCE//RELATIVE BOUNDED COHOMOLOGY
8 5156 HECKE ALGEBRA//BRAUER ALGEBRA//CELLULAR ALGEBRAS
9 9022 SEMIGROUP FORUM//INVERSE TRANSVERSAL//REGULAR SEMIGROUP
10 15272 KAC MOODY GROUPS//TWIN BUILDINGS//COXETER GROUP

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