Class information for:
Level 1: PRUFER DOMAIN//INTEGER VALUED POLYNOMIALS//STAR OPERATION

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
4765 1730 16.8 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
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
4765 1                   PRUFER DOMAIN//INTEGER VALUED POLYNOMIALS//STAR OPERATION 1730

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 PRUFER DOMAIN authKW 1159164 5% 77% 85
2 INTEGER VALUED POLYNOMIALS authKW 886111 3% 87% 58
3 STAR OPERATION authKW 866118 3% 96% 51
4 OVERRING authKW 564761 2% 100% 32
5 KRULL DOMAIN authKW 458381 2% 84% 31
6 PULLBACK authKW 441337 3% 49% 51
7 SEMISTAR OPERATION authKW 441219 1% 100% 25
8 VALUATION DOMAIN authKW 397082 2% 75% 30
9 NON UNIQUE FACTORIZATION authKW 389867 2% 82% 27
10 KRULL DIMENSION authKW 373147 3% 41% 51

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 95115 99% 0% 1721
2 Mathematics, Applied 6099 24% 0% 420
3 Multidisciplinary Sciences -2 0% 0% 2
4 Automation & Control Systems -4 0% 0% 2
5 Operations Research & Management Science -5 0% 0% 2
6 Engineering, General -8 0% 0% 1
7 Statistics & Probability -8 0% 0% 1
8 Computer Science, Theory & Methods -9 0% 0% 2
9 Physics, Multidisciplinary -31 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 FONDAMENTALES PL AMIENS 123541 0% 100% 7
2 SCI TECHNOL FEZ 96199 1% 42% 13
3 SCI DHAR AL MEHRAZ 70595 0% 100% 4
4 MATH WISSEN RECHNEN 70084 1% 19% 21
5 ANAL COMPUT NUMBER THEORY 35298 0% 100% 2
6 REINHART 35298 0% 100% 2
7 ANAL NUMBER THEORY 26470 0% 50% 3
8 MATH 25631 45% 0% 785
9 GEOMETRIA TOPOL QUIM ORGAN 22688 0% 43% 3
10 MATH SOFTWARE SCI 22239 1% 5% 23

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 297368 23% 4% 403
2 JOURNAL OF PURE AND APPLIED ALGEBRA 109330 11% 3% 190
3 HOUSTON JOURNAL OF MATHEMATICS 71853 5% 5% 89
4 JOURNAL OF ALGEBRA 68622 13% 2% 225
5 JOURNAL OF ALGEBRA AND ITS APPLICATIONS 50662 4% 5% 62
6 JOURNAL OF COMMUTATIVE ALGEBRA 43791 1% 11% 23
7 CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES 8792 2% 1% 34
8 SEMIGROUP FORUM 8255 2% 1% 33
9 ROCKY MOUNTAIN JOURNAL OF MATHEMATICS 6750 2% 1% 34
10 JOURNAL OF NUMBER THEORY 6249 2% 1% 41

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 PRUFER DOMAIN 1159164 5% 77% 85 Search PRUFER+DOMAIN Search PRUFER+DOMAIN
2 INTEGER VALUED POLYNOMIALS 886111 3% 87% 58 Search INTEGER+VALUED+POLYNOMIALS Search INTEGER+VALUED+POLYNOMIALS
3 STAR OPERATION 866118 3% 96% 51 Search STAR+OPERATION Search STAR+OPERATION
4 OVERRING 564761 2% 100% 32 Search OVERRING Search OVERRING
5 KRULL DOMAIN 458381 2% 84% 31 Search KRULL+DOMAIN Search KRULL+DOMAIN
6 PULLBACK 441337 3% 49% 51 Search PULLBACK Search PULLBACK
7 SEMISTAR OPERATION 441219 1% 100% 25 Search SEMISTAR+OPERATION Search SEMISTAR+OPERATION
8 VALUATION DOMAIN 397082 2% 75% 30 Search VALUATION+DOMAIN Search VALUATION+DOMAIN
9 NON UNIQUE FACTORIZATION 389867 2% 82% 27 Search NON+UNIQUE+FACTORIZATION Search NON+UNIQUE+FACTORIZATION
10 KRULL DIMENSION 373147 3% 41% 51 Search KRULL+DIMENSION Search KRULL+DIMENSION

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 GABELLI, S , PICOZZA, G , (2012) STABILITY AND CLIFFORD REGULARITY WITH RESPECT TO STAR OPERATIONS.COMMUNICATIONS IN ALGEBRA. VOL. 40. ISSUE 9. P. 3558-3582 41 100% 0
2 GEROLDINGER, A , KAINRATH, F , REINHART, A , (2015) ARITHMETIC OF SEMINORMAL WEAKLY KRULL MONOIDS AND DOMAINS.JOURNAL OF ALGEBRA. VOL. 444. ISSUE . P. 201 -245 37 93% 2
3 FONTANA, M , PICOZZA, G , (2011) ON SOME CLASSES OF INTEGRAL DOMAINS DEFINED BY KRULL'S A.B. OPERATIONS.JOURNAL OF ALGEBRA. VOL. 341. ISSUE 1. P. 179 -197 35 100% 2
4 GABELLI, S , PICOZZA, G , (2015) W-STABILITY AND CLIFFORD W-REGULARITY OF POLYNOMIAL RINGS.COMMUNICATIONS IN ALGEBRA. VOL. 43. ISSUE 1. P. 59 -75 30 100% 1
5 ZAFRULLAH, M , (2003) VARIOUS FACETS OF RINGS BETWEEN D[X] AND K[X].COMMUNICATIONS IN ALGEBRA. VOL. 31. ISSUE 5. P. 2497-2540 41 100% 8
6 ANDERSON, DD , CHANG, GW , ZAFRULLAH, M , (2013) INTEGRAL DOMAINS OF FINITE T-CHARACTER.JOURNAL OF ALGEBRA. VOL. 396. ISSUE . P. 169-183 31 100% 2
7 CAHEN, PJ , CHABERT, JL , (2016) WHAT YOU SHOULD KNOW ABOUT INTEGER-VALUED POLYNOMIALS.AMERICAN MATHEMATICAL MONTHLY. VOL. 123. ISSUE 4. P. 311 -337 26 90% 1
8 GEROLDINGER, A , ZHONG, QH , (2016) THE SET OF DISTANCES IN SEMINORMAL WEAKLY KRULL MONOIDS.JOURNAL OF PURE AND APPLIED ALGEBRA. VOL. 220. ISSUE 11. P. 3713 -3732 24 100% 0
9 FONTANA, M , PICOZZA, G , (2005) SEMISTAR INVERTIBILITY ON INTEGRAL DOMAINS.ALGEBRA COLLOQUIUM. VOL. 12. ISSUE 4. P. 645 -664 30 100% 12
10 CHANG, GW , FONTANA, M , (2009) UPPERS TO ZERO IN POLYNOMIAL RINGS AND PRUFER-LIKE DOMAINS.COMMUNICATIONS IN ALGEBRA. VOL. 37. ISSUE 1. P. 164-192 27 100% 5

Classes with closest relation at Level 1



Rank Class id link
1 22109 PRIME SUBMODULE//MULTIPLICATION MODULE//ZARISKI TOPOLOGY
2 35085 INTEGER VALUED ENTIRE FUNCTION//RECURRENT STEP EQUATIONS//ABEL ARITHMETIC FUNCTIONS
3 22485 UNIMODULAR ROWS//EULER CLASS GROUPS//CONSTRUCTIVE ALGEBRA
4 17728 ZERO SUM SEQUENCE//DAVENPORT CONSTANT//ZERO SUM PROBLEMS
5 19225 NUMERICAL SEMIGROUP//FROBENIUS NUMBER//MONOMIAL CURVE
6 31499 SECONDARY 14F22//14C22//AFFINE ALGEBRAIC SURFACE
7 15423 PURE INJECTIVE MODULE//PURE SEMISIMPLE RING//KRULL SCHMIDT THEOREM
8 34340 FEEDBACK CYCLIZATION//POLE ASSIGNABILITY//SYSTEMS OVER COMMUTATIVE RINGS
9 18359 ZERO DIVISOR GRAPH//ZERO DIVISOR//CLIQUE NUMBER
10 14746 LOCAL COHOMOLOGY//LOCAL COHOMOLOGY MODULES//COFINITE MODULES

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