Class information for:
Level 1: CONGRUENCE SIMPLE SEMIRINGS//SEMIMODULES//ALGEBRA OF FRACTIONS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
29138 192 14.1 23%


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
3307 2             ZERO DIVISOR GRAPH//S POSET//ZERO DIVISOR 1843
29138 1                   CONGRUENCE SIMPLE SEMIRINGS//SEMIMODULES//ALGEBRA OF FRACTIONS 192

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 CONGRUENCE SIMPLE SEMIRINGS authKW 636155 2% 100% 4
2 SEMIMODULES authKW 572535 3% 60% 6
3 ALGEBRA OF FRACTIONS authKW 508922 2% 80% 4
4 CONGRUENCE SIMPLE authKW 477116 2% 100% 3
5 SEMICOMODULES authKW 477116 2% 100% 3
6 LOCALIZATION ALGEBRA authKW 357836 2% 75% 3
7 ADDITIVELY PI REGULAR SEMIRINGS authKW 318078 1% 100% 2
8 CANCELLATIVE SEMIRINGS authKW 318078 1% 100% 2
9 COMONOIDS authKW 318078 1% 100% 2
10 ENDOMORPHISM SEMIRING authKW 318078 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 9144 93% 0% 178
2 Mathematics, Applied 542 22% 0% 42
3 Logic 261 3% 0% 5
4 Computer Science, Theory & Methods 15 3% 0% 6
5 Computer Science, Artificial Intelligence 11 3% 0% 5
6 Statistics & Probability 1 1% 0% 2
7 Critical Care Medicine 0 1% 0% 1
8 Computer Science, Interdisciplinary Applications -0 1% 0% 1
9 Physics, Mathematical -0 1% 0% 1
10 Peripheral Vascular Diseases -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 MATH DHSP 318078 1% 100% 2
2 COLEGIO UNIV LA RIOJA 159039 1% 100% 1
3 DISKR MATH ALGEBRA 159039 1% 100% 1
4 LACAL IC 159039 1% 100% 1
5 THEOR MATH 159039 1% 100% 1
6 LOBACHEVSKII MATH MECH 143131 2% 30% 3
7 ALGEBRA MATH LOG 48932 1% 15% 2
8 CNRS UMR 7030 22716 1% 7% 2
9 CLAUDE SHANNON 21201 1% 7% 2
10 LOBACHEVSKY MATH MECH 17669 1% 11% 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 121365 22% 2% 42
2 JOURNAL OF ALGEBRA AND ITS APPLICATIONS 11884 5% 1% 10
3 CZECHOSLOVAK MATHEMATICAL JOURNAL 8569 6% 0% 11
4 ALGEBRA COLLOQUIUM 6693 4% 1% 7
5 COMMUNICATIONS IN ALGEBRA 5934 10% 0% 19
6 ALGEBRA UNIVERSALIS 5702 4% 0% 8
7 ACTA MATHEMATICA ACADEMIAE SCIENTIARUM HUNGARICAE 3805 1% 1% 2
8 APPLIED CATEGORICAL STRUCTURES 3591 2% 1% 4
9 PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES 3450 4% 0% 7
10 QUAESTIONES MATHEMATICAE 3331 2% 1% 3

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 CONGRUENCE SIMPLE SEMIRINGS 636155 2% 100% 4 Search CONGRUENCE+SIMPLE+SEMIRINGS Search CONGRUENCE+SIMPLE+SEMIRINGS
2 SEMIMODULES 572535 3% 60% 6 Search SEMIMODULES Search SEMIMODULES
3 ALGEBRA OF FRACTIONS 508922 2% 80% 4 Search ALGEBRA+OF+FRACTIONS Search ALGEBRA+OF+FRACTIONS
4 CONGRUENCE SIMPLE 477116 2% 100% 3 Search CONGRUENCE+SIMPLE Search CONGRUENCE+SIMPLE
5 SEMICOMODULES 477116 2% 100% 3 Search SEMICOMODULES Search SEMICOMODULES
6 LOCALIZATION ALGEBRA 357836 2% 75% 3 Search LOCALIZATION+ALGEBRA Search LOCALIZATION+ALGEBRA
7 ADDITIVELY PI REGULAR SEMIRINGS 318078 1% 100% 2 Search ADDITIVELY+PI+REGULAR+SEMIRINGS Search ADDITIVELY+PI+REGULAR+SEMIRINGS
8 CANCELLATIVE SEMIRINGS 318078 1% 100% 2 Search CANCELLATIVE+SEMIRINGS Search CANCELLATIVE+SEMIRINGS
9 COMONOIDS 318078 1% 100% 2 Search COMONOIDS Search COMONOIDS
10 ENDOMORPHISM SEMIRING 318078 1% 100% 2 Search ENDOMORPHISM+SEMIRING Search ENDOMORPHISM+SEMIRING

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 ABUHLAIL, JY , IL'IN, SN , KATSOV, Y , NAM, TG , (2015) ON V-SEMIRINGS AND SEMIRINGS ALL OF WHOSE CYCLIC SEMIMODULES ARE INJECTIVE.COMMUNICATIONS IN ALGEBRA. VOL. 43. ISSUE 11. P. 4632 -4654 14 93% 0
2 KATSOV, Y , NAM, TG , ZUMBRAGEL, J , (2014) ON SIMPLENESS OF SEMIRINGS AND COMPLETE SEMIRINGS.JOURNAL OF ALGEBRA AND ITS APPLICATIONS. VOL. 13. ISSUE 6. P. - 13 93% 2
3 KATSOV, Y , NAM, TG , (2014) ON RADICALS OF SEMIRINGS AND RELATED PROBLEMS.COMMUNICATIONS IN ALGEBRA. VOL. 42. ISSUE 12. P. 5065-5099 11 100% 0
4 KEPKA, T , NEMEC, P , (2015) SIMPLE SEMIRINGS WITH LEFT MULTIPLICATIVELY ABSORBING ELEMENTS.SEMIGROUP FORUM. VOL. 91. ISSUE 1. P. 159 -170 8 100% 0
5 PORST, HE , (2015) THE FORMAL THEORY OF HOPF ALGEBRAS PART I: HOPF MONOIDS IN A MONOIDAL CATEGORY.QUAESTIONES MATHEMATICAE. VOL. 38. ISSUE 5. P. 631 -682 8 80% 0
6 IL'IN, SN , (2016) ON INJECTIVE ENVELOPES OF SEMIMODULES OVER SEMIRINGS.JOURNAL OF ALGEBRA AND ITS APPLICATIONS. VOL. 15. ISSUE 7. P. - 6 100% 0
7 IL'IN, SN , (2014) ON PROJECTIVE COVERS OF SEMIMODULES AND PERFECT SEMIRINGS.JOURNAL OF ALGEBRA AND ITS APPLICATIONS. VOL. 13. ISSUE 6. P. - 6 100% 0
8 IL'IN, SN , KATSOV, Y , (2014) ON SERRE'S PROBLEM ON PROJECTIVE SEMIMODULES OVER POLYNOMIAL SEMIRINGS.COMMUNICATIONS IN ALGEBRA. VOL. 42. ISSUE 9. P. 4021-4032 6 100% 0
9 KENDZIORRA, A , ZUMBRAGEL, J , (2013) FINITE SIMPLE ADDITIVELY IDEMPOTENT SEMIRINGS.JOURNAL OF ALGEBRA. VOL. 388. ISSUE . P. 43-64 6 100% 3
10 PORST, HE , STREET, R , (2016) GENERALIZATIONS OF THE SWEEDLER DUAL.APPLIED CATEGORICAL STRUCTURES. VOL. 24. ISSUE 5. P. 619 -647 7 78% 0

Classes with closest relation at Level 1


Rank Class id link
1 23145 S POSET//S ACT//POMONOID
2 37321 COVERS OF GROUPS//FERRERO PAIR//PLANAR NEARRING
3 26790 HYPERIDENTITY//HYPERSUBSTITUTION//2 N SEMIGROUP
4 16014 NEAR RING//MATRIX NEAR RING//FILIAL RING
5 17598 COALGEBRA//CHAIR SOFTWARE TECHNOL//FINAL COALGEBRA
6 10319 MAX ALGEBRA//MAX PLUS ALGEBRA//TROPICAL GEOMETRY
7 4886 MV ALGEBRA//BL ALGEBRA//RESIDUATED LATTICE
8 2116 HOPF ALGEBRA//WEAK HOPF ALGEBRA//YETTER DRINFELD MODULE
9 31499 SECONDARY 14F22//14C22//AFFINE ALGEBRAIC SURFACE
10 27108 GIRARD ALGEBRA//FACTOR SPACE//MODELS OF FUZZY LOGIC

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