Class information for:
Level 1: TIGHT CLOSURE//TEST IDEAL//HILBERT KUNZ MULTIPLICITY

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
16409 1                   TIGHT CLOSURE//TEST IDEAL//HILBERT KUNZ MULTIPLICITY 682

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 TIGHT CLOSURE authKW 1952894 8% 78% 54
2 TEST IDEAL authKW 1314439 5% 89% 32
3 HILBERT KUNZ MULTIPLICITY authKW 788017 3% 95% 18
4 F PURE authKW 462110 1% 100% 10
5 MULTIPLIER IDEAL authKW 377378 2% 58% 14
6 FROBENIUS HOMOMORPHISM authKW 340278 1% 82% 9
7 HILBERT KUNZ FUNCTION authKW 328610 1% 89% 8
8 F SIGNATURE authKW 323477 1% 100% 7
9 BIG COHEN MACAULAY ALGEBRAS authKW 277266 1% 100% 6
10 F PURE THRESHOLD authKW 277266 1% 100% 6

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 37031 99% 0% 676
2 Mathematics, Applied 992 16% 0% 110
3 Logic 9 0% 0% 2
4 Computer Science, Theory & Methods -1 0% 0% 3
5 Physics, Mathematical -3 0% 0% 1

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 RAD MATH 46211 0% 100% 1
2 SERV ALEGEBRE 46211 0% 100% 1
3 SERV ALGEBRA CP 211 46211 0% 100% 1
4 SERV ALGEBRE 46211 0% 100% 1
5 HBEREICH MATH INFORMAT 6 24571 1% 11% 5
6 MATH FB08 23105 0% 50% 1
7 PURE MATH 16811 5% 1% 33
8 MATH 15760 57% 0% 387
9 INTERDISZIPLINA ZENTRUM WISSEN LICHES RECHN 11551 0% 25% 1
10 MATH FB6 11551 0% 25% 1

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 JOURNAL OF ALGEBRA 70316 21% 1% 142
2 MICHIGAN MATHEMATICAL JOURNAL 22848 4% 2% 27
3 NAGOYA MATHEMATICAL JOURNAL 21860 4% 2% 24
4 JOURNAL OF PURE AND APPLIED ALGEBRA 11856 6% 1% 39
5 COMMUNICATIONS IN ALGEBRA 10752 7% 0% 48
6 ALGEBRA & NUMBER THEORY 10352 2% 2% 11
7 AMERICAN JOURNAL OF MATHEMATICS 9272 3% 1% 19
8 TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 8721 6% 0% 42
9 MATHEMATICAL RESEARCH LETTERS 7357 2% 1% 17
10 ILLINOIS JOURNAL OF MATHEMATICS 7288 2% 1% 17

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 TIGHT CLOSURE 1952894 8% 78% 54 Search TIGHT+CLOSURE Search TIGHT+CLOSURE
2 TEST IDEAL 1314439 5% 89% 32 Search TEST+IDEAL Search TEST+IDEAL
3 HILBERT KUNZ MULTIPLICITY 788017 3% 95% 18 Search HILBERT+KUNZ+MULTIPLICITY Search HILBERT+KUNZ+MULTIPLICITY
4 F PURE 462110 1% 100% 10 Search F+PURE Search F+PURE
5 MULTIPLIER IDEAL 377378 2% 58% 14 Search MULTIPLIER+IDEAL Search MULTIPLIER+IDEAL
6 FROBENIUS HOMOMORPHISM 340278 1% 82% 9 Search FROBENIUS+HOMOMORPHISM Search FROBENIUS+HOMOMORPHISM
7 HILBERT KUNZ FUNCTION 328610 1% 89% 8 Search HILBERT+KUNZ+FUNCTION Search HILBERT+KUNZ+FUNCTION
8 F SIGNATURE 323477 1% 100% 7 Search F+SIGNATURE Search F+SIGNATURE
9 BIG COHEN MACAULAY ALGEBRAS 277266 1% 100% 6 Search BIG+COHEN+MACAULAY+ALGEBRAS Search BIG+COHEN+MACAULAY+ALGEBRAS
10 F PURE THRESHOLD 277266 1% 100% 6 Search F+PURE+THRESHOLD Search F+PURE+THRESHOLD

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 1


rank cluster_id2 link
1 6809 REES ALGEBRA//ASSOCIATED GRADED RING//REDUCTION NUMBER
2 14589 LOCAL COHOMOLOGY//LOCAL COHOMOLOGY MODULES//COFINITE MODULES
3 37231 MAXIMALLY DIFFERENTIAL IDEALS//HASSE SCHMIDT DERIVATIONS//HIGHER DIFFERENTIAL ALGEBRA
4 1544 FANO VARIETIES//ADJUNCTION THEORY//FANO MANIFOLDS
5 5466 PREENVELOPE//PRECOVER//SEMIDUALIZING MODULE
6 15176 COX RING//SPHERICAL VARIETIES//WONDERFUL VARIETIES
7 7584 RESOLUTION OF SINGULARITIES//QUASI ORDINARY SINGULARITIES//ARC SPACE
8 19646 ZENTRUM MATH M11//MODULAR INVARIANT THEORY//SEPARATING INVARIANTS
9 6006 HIGGS BUNDLES//PRINCIPAL BUNDLE//PARABOLIC BUNDLE
10 15301 FAT POINTS//SECANT VARIETIES//SESHADRI CONSTANT

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