Class information for:
Level 1: PRIME SUBMODULE//MULTIPLICATION MODULE//ZARISKI TOPOLOGY

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
22109 393 13.2 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
15 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 719832
325 3       MATHEMATICS//COMMUNICATIONS IN ALGEBRA//JOURNAL OF ALGEBRA 38375
1267 2             COMMUNICATIONS IN ALGEBRA//MATHEMATICS//PRUFER DOMAIN 8782
22109 1                   PRIME SUBMODULE//MULTIPLICATION MODULE//ZARISKI TOPOLOGY 393

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 PRIME SUBMODULE authKW 5023512 19% 86% 75
2 MULTIPLICATION MODULE authKW 2816895 11% 84% 43
3 ZARISKI TOPOLOGY authKW 946973 7% 42% 29
4 RADICAL OF A SUBMODULE authKW 699276 2% 100% 9
5 PRIMARY SUBMODULE authKW 629346 2% 90% 9
6 2 ABSORBING IDEAL authKW 621578 2% 100% 8
7 RADICAL FORMULA authKW 621578 2% 100% 8
8 N ABSORBING IDEAL authKW 543881 2% 100% 7
9 SECOND SUBMODULE authKW 543881 2% 100% 7
10 ALMOST PRIME IDEAL authKW 466184 2% 100% 6

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 21388 99% 0% 389
2 Mathematics, Applied 545 16% 0% 62
3 Statistics & Probability 42 3% 0% 12
4 Physics, Mathematical -1 0% 0% 1
5 Physics, Multidisciplinary -4 1% 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 BRANCH MATH 77697 0% 100% 1
2 COMP PROGRAMMING ISTANBUL 77697 0% 100% 1
3 TAFIRA BAJA 77697 0% 100% 1
4 GHORVEH BRANCH 38848 0% 50% 1
5 RING THEORY ITS PLICAT 19423 0% 25% 1
6 GESAMTH 11098 0% 14% 1
7 EDIFICIO INFORMAT MATEMAT 9710 0% 13% 1
8 PURE MATH 8835 5% 1% 18
9 MATH 8468 54% 0% 214
10 RENYI MATH 7137 1% 2% 4

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 79013 25% 1% 99
2 TURKISH JOURNAL OF MATHEMATICS 33835 4% 3% 17
3 JOURNAL OF COMMUTATIVE ALGEBRA 17860 2% 3% 7
4 BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY 13623 3% 2% 11
5 ALGEBRA COLLOQUIUM 11275 3% 1% 13
6 HOUSTON JOURNAL OF MATHEMATICS 10216 4% 1% 16
7 HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS 8909 2% 1% 9
8 GLASGOW MATHEMATICAL JOURNAL 7640 3% 1% 12
9 CZECHOSLOVAK MATHEMATICAL JOURNAL 5836 3% 1% 13
10 JOURNAL OF ALGEBRA AND ITS APPLICATIONS 5796 3% 1% 10

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 PRIME SUBMODULE 5023512 19% 86% 75 Search PRIME+SUBMODULE Search PRIME+SUBMODULE
2 MULTIPLICATION MODULE 2816895 11% 84% 43 Search MULTIPLICATION+MODULE Search MULTIPLICATION+MODULE
3 ZARISKI TOPOLOGY 946973 7% 42% 29 Search ZARISKI+TOPOLOGY Search ZARISKI+TOPOLOGY
4 RADICAL OF A SUBMODULE 699276 2% 100% 9 Search RADICAL+OF+A+SUBMODULE Search RADICAL+OF+A+SUBMODULE
5 PRIMARY SUBMODULE 629346 2% 90% 9 Search PRIMARY+SUBMODULE Search PRIMARY+SUBMODULE
6 2 ABSORBING IDEAL 621578 2% 100% 8 Search 2+ABSORBING+IDEAL Search 2+ABSORBING+IDEAL
7 RADICAL FORMULA 621578 2% 100% 8 Search RADICAL+FORMULA Search RADICAL+FORMULA
8 N ABSORBING IDEAL 543881 2% 100% 7 Search N+ABSORBING+IDEAL Search N+ABSORBING+IDEAL
9 SECOND SUBMODULE 543881 2% 100% 7 Search SECOND+SUBMODULE Search SECOND+SUBMODULE
10 ALMOST PRIME IDEAL 466184 2% 100% 6 Search ALMOST+PRIME+IDEAL Search ALMOST+PRIME+IDEAL

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 HASSANZADEH-LELEKAAMI, D , ROSHAN-SHEKALGOURABI, H , (2014) PRIME SUBMODULES AND A SHEAF ON THE PRIME SPECTRA OF MODULES.COMMUNICATIONS IN ALGEBRA. VOL. 42. ISSUE 7. P. 3063-3077 22 100% 0
2 MOSTAFANASAB, H , YETKIN, E , TEKIR, U , DARANI, AY , (2016) ON 2-ABSORBING PRIMARY SUBMODULES OF MODULES OVER COMMUTATIVE RINGS.ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA. VOL. 24. ISSUE 1. P. 335 -351 17 100% 0
3 AZIZI, A , (2013) ON PRIME RADICAL OF SUBMODULES.PUBLICATIONES MATHEMATICAE-DEBRECEN. VOL. 82. ISSUE 2. P. 309-324 17 100% 0
4 ABUHLAIL, J , LOMP, C , (2016) ON TOPOLOGICAL LATTICES AND THEIR APPLICATIONS TO MODULE THEORY.JOURNAL OF ALGEBRA AND ITS APPLICATIONS. VOL. 15. ISSUE 3. P. - 16 94% 0
5 AZIZI, A , (2011) HEIGHT OF PRIME AND WEAKLY PRIME SUBMODULES.MEDITERRANEAN JOURNAL OF MATHEMATICS. VOL. 8. ISSUE 2. P. 257-269 16 100% 0
6 ABBASI, A , HASSANZADEH-LELEKAAMI, D , (2012) MODULES AND SPECTRAL SPACES.COMMUNICATIONS IN ALGEBRA. VOL. 40. ISSUE 11. P. 4111-4129 16 94% 2
7 ABBASI, A , HASSANZADEH-LELEKAAMI, D , (2012) QUASI-PRIME SUBMODULES AND DEVELOPED ZARISKI TOPOLOGY.ALGEBRA COLLOQUIUM. VOL. 19. ISSUE . P. 1089-1108 15 100% 2
8 RUSH, DE , (2011) NOETHERIAN SPECTRUM ON RINGS AND MODULES.GLASGOW MATHEMATICAL JOURNAL. VOL. 53. ISSUE . P. 707-715 18 86% 0
9 BEHBOODI, M , SABZEVARI, M , (2014) MODULES SATISFYING THE PRIME AND MAXIMAL RADICAL CONDITIONS.JOURNAL OF COMMUTATIVE ALGEBRA. VOL. 6. ISSUE 4. P. 505 -524 14 93% 0
10 ANSARI-TOROGHY, H , KEYVANI, S , FARSHADIFAR, F , (2016) THE ZARISKI TOPOLOGY ON THE SECOND SPECTRUM OF A MODULE (II).BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY. VOL. 39. ISSUE 3. P. 1089 -1103 11 100% 1

Classes with closest relation at Level 1



Rank Class id link
1 4765 PRUFER DOMAIN//INTEGER VALUED POLYNOMIALS//STAR OPERATION
2 7959 EXTENDING MODULE//LIFTING MODULE//QF RING
3 18359 ZERO DIVISOR GRAPH//ZERO DIVISOR//CLIQUE NUMBER
4 8421 EXCHANGE RING//CLEAN RING//ARMENDARIZ RING
5 16014 NEAR RING//MATRIX NEAR RING//FILIAL RING
6 14746 LOCAL COHOMOLOGY//LOCAL COHOMOLOGY MODULES//COFINITE MODULES
7 33449 POLYADIC GROUPS//WARINGS PROBLEM//N M SEMIGROUP
8 29138 CONGRUENCE SIMPLE SEMIRINGS//SEMIMODULES//ALGEBRA OF FRACTIONS
9 33381 COGALOIS EXTENSION//G COGALOIS EXTENSION//KNESER EXTENSION
10 15423 PURE INJECTIVE MODULE//PURE SEMISIMPLE RING//KRULL SCHMIDT THEOREM

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