Class information for:
Level 2: LOCAL COHOMOLOGY//LOCAL COHOMOLOGY MODULES//TIGHT CLOSURE

Basic class information

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
14 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 912822
106 3       MATHEMATICS//COMMUNICATIONS IN ALGEBRA//MATH 74336
2407 2             LOCAL COHOMOLOGY//LOCAL COHOMOLOGY MODULES//TIGHT CLOSURE 4423
6809 1                   REES ALGEBRA//ASSOCIATED GRADED RING//REDUCTION NUMBER 1466
7387 1                   JACOBIAN CONJECTURE//POLYNOMIAL AUTOMORPHISMS//LOCALLY NILPOTENT DERIVATION 1399
14589 1                   LOCAL COHOMOLOGY//LOCAL COHOMOLOGY MODULES//COFINITE MODULES 790
16409 1                   TIGHT CLOSURE//TEST IDEAL//HILBERT KUNZ MULTIPLICITY 682
37231 1                   MAXIMALLY DIFFERENTIAL IDEALS//HASSE SCHMIDT DERIVATIONS//HIGHER DIFFERENTIAL ALGEBRA 86

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 LOCAL COHOMOLOGY authKW 1119225 5% 75% 209
2 LOCAL COHOMOLOGY MODULES authKW 513598 2% 89% 81
3 TIGHT CLOSURE authKW 409761 1% 91% 63
4 JACOBIAN CONJECTURE authKW 372987 2% 73% 72
5 REES ALGEBRA authKW 364059 2% 66% 77
6 COFINITE MODULES authKW 349065 1% 100% 49
7 ASSOCIATED PRIMES authKW 300770 1% 66% 64
8 ASSOCIATED GRADED RING authKW 296328 1% 80% 52
9 JOURNAL OF ALGEBRA journal 271496 16% 5% 711
10 MATHEMATICS WoSSC 237366 99% 1% 4359

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 237366 99% 1% 4359
2 Mathematics, Applied 12951 22% 0% 985
3 Logic 4 0% 0% 5
4 COMPUTER APPLICATIONS & CYBERNETICS 1 0% 0% 1
5 Computer Science, Cybernetics -1 0% 0% 2
6 Demography -1 0% 0% 1
7 Computer Science, Theory & Methods -3 0% 0% 22
8 Family Studies -5 0% 0% 1
9 Multidisciplinary Sciences -6 0% 0% 4
10 Automation & Control Systems -13 0% 0% 3

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 MATH 51168 41% 0% 1793
2 INFORMAT TECHNOL PL MATH 28491 0% 67% 6
3 ECONOINFORMAT 22258 0% 63% 5
4 ALGEBRA GEOMETRIA 21540 1% 10% 31
5 HASHTROUD BRANCH 21371 0% 100% 3
6 MATH 2750 18994 0% 67% 4
7 MOSAHEB MATH 16185 0% 45% 5
8 CIVIL ENGN PL MATH 11393 0% 40% 4
9 PURE MATH 10593 2% 2% 67
10 IMB UMR5584 9493 0% 33% 4

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 JOURNAL OF ALGEBRA 271496 16% 5% 711
2 COMMUNICATIONS IN ALGEBRA 195274 12% 5% 520
3 JOURNAL OF PURE AND APPLIED ALGEBRA 185121 9% 7% 392
4 JOURNAL OF COMMUTATIVE ALGEBRA 82592 1% 22% 52
5 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 36883 7% 2% 298
6 NAGOYA MATHEMATICAL JOURNAL 33723 2% 6% 76
7 ALGEBRA COLLOQUIUM 26106 1% 6% 66
8 MANUSCRIPTA MATHEMATICA 20606 2% 3% 98
9 MICHIGAN MATHEMATICAL JOURNAL 19714 1% 4% 64
10 JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY 15447 1% 4% 51

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 LOCAL COHOMOLOGY 1119225 5% 75% 209 Search LOCAL+COHOMOLOGY Search LOCAL+COHOMOLOGY
2 LOCAL COHOMOLOGY MODULES 513598 2% 89% 81 Search LOCAL+COHOMOLOGY+MODULES Search LOCAL+COHOMOLOGY+MODULES
3 TIGHT CLOSURE 409761 1% 91% 63 Search TIGHT+CLOSURE Search TIGHT+CLOSURE
4 JACOBIAN CONJECTURE 372987 2% 73% 72 Search JACOBIAN+CONJECTURE Search JACOBIAN+CONJECTURE
5 REES ALGEBRA 364059 2% 66% 77 Search REES+ALGEBRA Search REES+ALGEBRA
6 COFINITE MODULES 349065 1% 100% 49 Search COFINITE+MODULES Search COFINITE+MODULES
7 ASSOCIATED PRIMES 300770 1% 66% 64 Search ASSOCIATED+PRIMES Search ASSOCIATED+PRIMES
8 ASSOCIATED GRADED RING 296328 1% 80% 52 Search ASSOCIATED+GRADED+RING Search ASSOCIATED+GRADED+RING
9 TEST IDEAL 215489 1% 92% 33 Search TEST+IDEAL Search TEST+IDEAL
10 ARTINIAN MODULE 209050 1% 68% 43 Search ARTINIAN+MODULE Search ARTINIAN+MODULE

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.

Classes with closest relation at Level 2



rank cluster_id2 link
1 1988 MONOMIAL IDEALS//NUMERICAL SEMIGROUP//EDGE IDEAL
2 277 MATHEMATICS//JOURNAL OF ALGEBRAIC GEOMETRY//MODULI SPACE
3 589 COMMUNICATIONS IN ALGEBRA//MATHEMATICS//JOURNAL OF ALGEBRA
4 2586 JOURNAL OF SYMBOLIC LOGIC//LOGIC//O MINIMALITY
5 449 MATHEMATICS//JOURNAL OF ALGEBRA//TRANSFORMATION GROUPS
6 1525 MATHEMATICS//HOLOMORPHIC FOLIATION//PLURISUBHARMONIC FUNCTION
7 1250 MATHEMATICS//HOMOLOGY HOMOTOPY AND APPLICATIONS//JOURNAL OF PURE AND APPLIED ALGEBRA
8 1734 JOURNAL OF SYMBOLIC COMPUTATION//SCALAR MULTIPLICATION//FINITE FIELDS
9 322 MATHEMATICS//JOURNAL OF NUMBER THEORY//ACTA ARITHMETICA
10 1026 MATHEMATICS//3 MANIFOLD//ALGEBRAIC AND GEOMETRIC TOPOLOGY

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