Class information for:
Level 1: PURE INJECTIVE MODULE//PURE SEMISIMPLE RING//KRULL SCHMIDT THEOREM

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
15423 714 17.6 31%


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
15423 1                   PURE INJECTIVE MODULE//PURE SEMISIMPLE RING//KRULL SCHMIDT THEOREM 714

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 PURE INJECTIVE MODULE authKW 574938 3% 61% 22
2 PURE SEMISIMPLE RING authKW 398043 2% 85% 11
3 KRULL SCHMIDT THEOREM authKW 388773 1% 91% 10
4 DEDEKIND LIKE RING authKW 384887 1% 100% 9
5 ZIEGLER SPECTRUM authKW 323405 2% 69% 11
6 KRULL GABRIEL DIMENSION authKW 273694 1% 80% 8
7 ENDOFINITE MODULE authKW 213826 1% 100% 5
8 OUTER TENSOR PRODUCT authKW 213826 1% 100% 5
9 PRUFER MODULES authKW 213826 1% 100% 5
10 DIRECT SUM DECOMPOSITION authKW 198637 2% 39% 12

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 39111 99% 0% 709
2 Logic 9035 8% 0% 56
3 Mathematics, Applied 2179 23% 0% 162
4 Multidisciplinary Sciences -0 0% 0% 1
5 Computer Science, Theory & Methods -1 0% 0% 3
6 Statistics & Probability -1 0% 0% 2
7 Automation & Control Systems -1 0% 0% 1
8 Operations Research & Management Science -2 0% 0% 1
9 Computer Science, Interdisciplinary Applications -3 0% 0% 1
10 Mechanics -6 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 LOGIK 42765 0% 100% 1
2 MATEMAT WISSEN RECHNEN 42765 0% 100% 1
3 MATH MECHNICOLAS ORSEME 42765 0% 100% 1
4 MATH WISSEN AFTLICHES RECH 42765 0% 100% 1
5 DIPARTIMENTO MATEMAT PURA PLICATA 22447 4% 2% 28
6 BARD PRISON INITIAT 21382 0% 50% 1
7 DIPARTIMENTO INFORMAT SETTORE MATEMAT 21380 0% 25% 2
8 SCI SAISS 14254 0% 33% 1
9 ALGEBRA ZAHLENTHEORIE 9366 1% 5% 4
10 MECAA 8551 0% 20% 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 COMMUNICATIONS IN ALGEBRA 55577 16% 1% 112
2 JOURNAL OF PURE AND APPLIED ALGEBRA 45798 11% 1% 79
3 JOURNAL OF ALGEBRA 35548 15% 1% 104
4 COLLOQUIUM MATHEMATICUM 25569 3% 3% 20
5 ALGEBRAS AND REPRESENTATION THEORY 12732 2% 2% 15
6 JOURNAL OF ALGEBRA AND ITS APPLICATIONS 11518 3% 1% 19
7 JOURNAL OF SYMBOLIC LOGIC 6477 3% 1% 21
8 ALGEBRA AND LOGIC 4740 1% 2% 6
9 ARCHIV DER MATHEMATIK 3042 3% 0% 19
10 JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES 3019 2% 0% 16

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 PURE INJECTIVE MODULE 574938 3% 61% 22 Search PURE+INJECTIVE+MODULE Search PURE+INJECTIVE+MODULE
2 PURE SEMISIMPLE RING 398043 2% 85% 11 Search PURE+SEMISIMPLE+RING Search PURE+SEMISIMPLE+RING
3 KRULL SCHMIDT THEOREM 388773 1% 91% 10 Search KRULL+SCHMIDT+THEOREM Search KRULL+SCHMIDT+THEOREM
4 DEDEKIND LIKE RING 384887 1% 100% 9 Search DEDEKIND+LIKE+RING Search DEDEKIND+LIKE+RING
5 ZIEGLER SPECTRUM 323405 2% 69% 11 Search ZIEGLER+SPECTRUM Search ZIEGLER+SPECTRUM
6 KRULL GABRIEL DIMENSION 273694 1% 80% 8 Search KRULL+GABRIEL+DIMENSION Search KRULL+GABRIEL+DIMENSION
7 ENDOFINITE MODULE 213826 1% 100% 5 Search ENDOFINITE+MODULE Search ENDOFINITE+MODULE
8 OUTER TENSOR PRODUCT 213826 1% 100% 5 Search OUTER+TENSOR+PRODUCT Search OUTER+TENSOR+PRODUCT
9 PRUFER MODULES 213826 1% 100% 5 Search PRUFER+MODULES Search PRUFER+MODULES
10 DIRECT SUM DECOMPOSITION 198637 2% 39% 12 Search DIRECT+SUM+DECOMPOSITION Search DIRECT+SUM+DECOMPOSITION

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 FACCHINI, A , (2012) DIRECT-SUM DECOMPOSITIONS OF MODULES WITH SEMILOCAL ENDOMORPHISM RINGS.BULLETIN OF MATHEMATICAL SCIENCES. VOL. 2. ISSUE 2. P. 225-279 34 76% 5
2 DUNG, NV , (2017) SUBMODULE-CLOSED SUBCATEGORIES OF FINITE TYPE.COLLOQUIUM MATHEMATICUM. VOL. 147. ISSUE 1. P. 125 -144 20 83% 0
3 DUNG, NV , GARCIA, JL , (2012) DEFINABLE SUBCATEGORIES OVER PURE SEMISIMPLE RINGS.JOURNAL OF ALGEBRA AND ITS APPLICATIONS. VOL. 11. ISSUE 5. P. - 18 95% 1
4 OKOH, F , ZORZITTO, F , (2008) ENDOMORPHISMS OF KRONECKER MODULES REGULATED BY QUADRATIC ALGEBRA EXTENSIONS OF A FUNCTION FIELD.CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES. VOL. 60. ISSUE 4. P. 923-957 17 89% 1
5 PREST, M , (2009) PURE-INJECTIVE MODULES.ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING. VOL. 34. ISSUE 1D. P. 175 -191 23 64% 2
6 DUNG, NV , GARCIA, JL , (2012) INDECOMPOSABLE MODULES OVER PURE SEMISIMPLE HEREDITARY RINGS.JOURNAL OF ALGEBRA. VOL. 371. ISSUE . P. 577 -595 17 77% 4
7 KLINGLER, L , LEVY, LS , (2005) REPRESENTATION TYPE OF COMMUTATIVE NOETHERIAN RINGS III: GLOBAL WILDNESS AND TAMENESS.MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 176. ISSUE 832. P. VII-+ 16 100% 0
8 SARAEI, FEK , (2016) ON PSEUDO-PRIME MULTIPLICATION MODULES OVER PULLBACK RINGS.COLLOQUIUM MATHEMATICUM. VOL. 143. ISSUE 1. P. 63 -78 12 100% 0
9 DUNG, NV , GARCIA, JL , (2005) ENDOFINITE MODULES AND PURE SEMISIMPLE RINGS.JOURNAL OF ALGEBRA. VOL. 289. ISSUE 2. P. 574-593 16 94% 12
10 HARLAND, R , PREST, M , (2015) MODULES WITH IRRATIONAL SLOPE OVER TUBULAR ALGEBRAS.PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY. VOL. 110. ISSUE . P. 695 -720 15 79% 0

Classes with closest relation at Level 1


Rank Class id link
1 37520 GENERALIZED KUPISCH SERIES//OMEGA ELONGATION//OMEGA PLUS K PROJECTIVE MODULES
2 4784 PREENVELOPE//PRECOVER//SEMIDUALIZING MODULE
3 1220 CLUSTER ALGEBRA//CLUSTER CATEGORY//AUSLANDER REITEN QUIVER
4 8421 EXCHANGE RING//CLEAN RING//ARMENDARIZ RING
5 7959 EXTENDING MODULE//LIFTING MODULE//QF RING
6 25245 DUBROVIN VALUATION RING//TOTAL VALUATION RING//HEREDITARY ORDERS
7 6123 NONCOMMUTATIVE PROJECTIVE GEOMETRY//ARTIN SCHELTER REGULAR ALGEBRA//QUANTUM MATRICES
8 7864 JOURNAL OF SYMBOLIC LOGIC//ABSTRACT ELEMENTARY CLASSES//LOGIC
9 10038 BUTLER GROUPS//TOTALLY PROJECTIVE GROUPS//E RINGS
10 4765 PRUFER DOMAIN//INTEGER VALUED POLYNOMIALS//STAR OPERATION

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