Class information for:
Level 1: TRANSFORMATION SEMIGROUPS//IDEMPOTENT RANK//SEMIGROUP FORUM

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
16888 629 14.1 36%



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
16888 1                   TRANSFORMATION SEMIGROUPS//IDEMPOTENT RANK//SEMIGROUP FORUM 629

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 TRANSFORMATION SEMIGROUPS authKW 2075254 9% 75% 57
2 IDEMPOTENT RANK authKW 631080 2% 100% 13
3 SEMIGROUP FORUM journal 453838 23% 6% 147
4 GREENS RELATIONS authKW 443287 3% 42% 22
5 PARTITION MONOIDS authKW 436902 1% 100% 9
6 MATH TEACHING SECT address 380578 2% 56% 14
7 ORDER PRESERVING TRANSFORMATIONS authKW 373416 2% 77% 10
8 COMPLEMENTARY PRISM authKW 339812 1% 100% 7
9 ORDER PRESERVING authKW 327019 3% 42% 16
10 PARTIAL TRANSFORMATION authKW 269683 2% 56% 10

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 31641 95% 0% 599
2 Mathematics, Applied 907 16% 0% 101
3 Logic 24 0% 0% 3
4 Statistics & Probability 11 2% 0% 10
5 Computer Science, Theory & Methods 3 1% 0% 8
6 Computer Science, Information Systems 1 1% 0% 6
7 Computer Science, Interdisciplinary Applications -1 0% 0% 2
8 Physics, Mathematical -3 0% 0% 1
9 Physics, Multidisciplinary -8 0% 0% 2
10 Engineering, Electrical & Electronic -17 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 MATH TEACHING SECT 380578 2% 56% 14
2 QIANGJIANG 97089 0% 100% 2
3 CEMAT CIENCIAS 72814 0% 50% 3
4 ALGEBRA 72089 9% 3% 55
5 R ESCOLA POLITECN 55474 1% 29% 4
6 COMPUTING SOFTWARE SYST PROGRAM 48545 0% 100% 1
7 CTT ALGEBRA 48545 0% 100% 1
8 ESCOLA POLITECN R 48545 0% 100% 1
9 NAZIONALE FIS NUCL 48545 0% 100% 1
10 SEKRETARIAT FR 6 9 48545 0% 100% 1

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 453838 23% 6% 147
2 COMMUNICATIONS IN ALGEBRA 24603 11% 1% 70
3 INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION 24023 4% 2% 23
4 PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY 19627 4% 2% 25
5 PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS 14690 4% 1% 28
6 BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY 12266 5% 1% 29
7 ALGEBRA COLLOQUIUM 9370 2% 1% 15
8 GLASGOW MATHEMATICAL JOURNAL 4764 2% 1% 12
9 JOURNAL OF ALGEBRA 3544 5% 0% 31
10 ALGEBRA UNIVERSALIS 3278 2% 1% 11

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 TRANSFORMATION SEMIGROUPS 2075254 9% 75% 57 Search TRANSFORMATION+SEMIGROUPS Search TRANSFORMATION+SEMIGROUPS
2 IDEMPOTENT RANK 631080 2% 100% 13 Search IDEMPOTENT+RANK Search IDEMPOTENT+RANK
3 GREENS RELATIONS 443287 3% 42% 22 Search GREENS+RELATIONS Search GREENS+RELATIONS
4 PARTITION MONOIDS 436902 1% 100% 9 Search PARTITION+MONOIDS Search PARTITION+MONOIDS
5 ORDER PRESERVING TRANSFORMATIONS 373416 2% 77% 10 Search ORDER+PRESERVING+TRANSFORMATIONS Search ORDER+PRESERVING+TRANSFORMATIONS
6 COMPLEMENTARY PRISM 339812 1% 100% 7 Search COMPLEMENTARY+PRISM Search COMPLEMENTARY+PRISM
7 ORDER PRESERVING 327019 3% 42% 16 Search ORDER+PRESERVING Search ORDER+PRESERVING
8 PARTIAL TRANSFORMATION 269683 2% 56% 10 Search PARTIAL+TRANSFORMATION Search PARTIAL+TRANSFORMATION
9 NATURAL PARTIAL ORDER 245749 1% 56% 9 Search NATURAL+PARTIAL+ORDER Search NATURAL+PARTIAL+ORDER
10 BRAUER MONOIDS 242723 1% 100% 5 Search BRAUER+MONOIDS Search BRAUER+MONOIDS

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 ARAUJO, J , BENTZ, W , KONIECZNY, J , (2014) THE LARGEST SUBSEMILATTICES OF THE ENDOMORPHISM MONOID OF AN INDEPENDENCE ALGEBRA.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 458. ISSUE . P. 60 -79 35 97% 0
2 ZHAO, P , (2014) LOCALLY MAXIMAL REGULAR SUBSEMIBANDS OF SOPN.BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY. VOL. 37. ISSUE 3. P. 881 -891 25 96% 0
3 DOLINKA, I , EAST, J , GRAY, RD , (2017) MOTZKIN MONOIDS AND PARTIAL BRAUER MONOIDS.JOURNAL OF ALGEBRA. VOL. 471. ISSUE . P. 251 -298 34 65% 0
4 FERNANDES, VH , QUINTEIRO, TM , (2012) THE CARDINAL OF VARIOUS MONOIDS OF TRANSFORMATIONS THAT PRESERVE A UNIFORM PARTITION.BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY. VOL. 35. ISSUE 4. P. 885 -896 21 100% 3
5 DOLINKA, I , EAST, J , (2015) VARIANTS OF FINITE FULL TRANSFORMATION SEMIGROUPS.INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION. VOL. 25. ISSUE 8. P. 1187 -1222 25 78% 0
6 ZHAO, P , FERNANDES, VH , (2015) THE RANKS OF IDEALS IN VARIOUS TRANSFORMATION MONOIDS.COMMUNICATIONS IN ALGEBRA. VOL. 43. ISSUE 2. P. 674 -692 18 100% 1
7 SUN, L , SUN, JL , (2013) A PARTIAL ORDER ON TRANSFORMATION SEMIGROUPS THAT PRESERVE DOUBLE DIRECTION EQUIVALENCE RELATION.JOURNAL OF ALGEBRA AND ITS APPLICATIONS. VOL. 12. ISSUE 8. P. - 18 100% 0
8 EAST, J , GRAY, RD , (2017) DIAGRAM MONOIDS AND GRAHAM-HOUGHTON GRAPHS: IDEMPOTENTS AND GENERATING SETS OF IDEALS.JOURNAL OF COMBINATORIAL THEORY SERIES A. VOL. 146. ISSUE . P. 63 -128 36 45% 0
9 EAST, J , (2013) DEFINING RELATIONS FOR IDEMPOTENT GENERATORS IN FINITE FULL TRANSFORMATION SEMIGROUPS.SEMIGROUP FORUM. VOL. 86. ISSUE 3. P. 451-485 17 94% 0
10 FERNANDES, VH , HONYAM, P , QUINTEIRO, TM , SINGHA, B , (2016) ON SEMIGROUPS OF ORIENTATION-PRESERVING TRANSFORMATIONS WITH RESTRICTED RANGE.COMMUNICATIONS IN ALGEBRA. VOL. 44. ISSUE 1. P. 253 -264 15 100% 0

Classes with closest relation at Level 1



Rank Class id link
1 9022 SEMIGROUP FORUM//INVERSE TRANSVERSAL//REGULAR SEMIGROUP
2 28789 RENNER MONOID//REDUCTIVE MONOID//ALGEBRAIC MONOIDS
3 33180 SYNCHRONIZING AUTOMATA//CERNY CONJECTURE//RESET WORD
4 37657 LOCAL DENDRITES//MATEMAT SZAMITASTUDOMANYI INT//O DIMENSIONAL
5 14975 PSEUDOVARIETY//FINITE MONOID//IMPLICIT OPERATION
6 35916 SUPERATOMIC BOOLEAN ALGEBRAS//THIN TALL//ALGEBRAICALLY CLOSED
7 32171 CIRCLE ORDER//GEOMETRIC CONTAINMENT//SPHERE CONTAINMENT ORDER
8 37321 COVERS OF GROUPS//FERRERO PAIR//PLANAR NEARRING
9 13914 RESTARTING AUTOMATON//FINITE DERIVATION TYPE//AUTOMATIC SEMIGROUP
10 12935 URYSOHN METRIC SPACE//HOMOGENEOUS STRUCTURE//URYSOHN SPACE

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