Class information for:
Level 1: REES ALGEBRA//ASSOCIATED GRADED RING//REDUCTION NUMBER

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

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 REES ALGEBRA authKW 1014745 5% 64% 74
2 ASSOCIATED GRADED RING authKW 860182 3% 78% 51
3 REDUCTION NUMBER authKW 460629 2% 71% 30
4 FIBER CONE authKW 400165 2% 85% 22
5 MIXED MULTIPLICITY authKW 366576 1% 95% 18
6 HILBERT COEFFICIENTS authKW 337400 1% 83% 19
7 RESIDUAL INTERSECTION authKW 257962 1% 100% 12
8 COHEN MACAULAY RING authKW 245895 2% 37% 31
9 ANALYTIC SPREAD authKW 200628 1% 67% 14
10 INTEGRALLY CLOSED IDEAL authKW 200082 1% 85% 11

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 79923 99% 0% 1456
2 Mathematics, Applied 3180 19% 0% 284
3 COMPUTER APPLICATIONS & CYBERNETICS 6 0% 0% 1
4 Multidisciplinary Sciences -2 0% 0% 1
5 Computer Science, Theory & Methods -4 0% 0% 4
6 Physics, Multidisciplinary -26 0% 0% 1

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 ECONOINFORMAT 67174 0% 63% 5
2 INFORMAT TECHNOL PL MATH 59709 0% 56% 5
3 MATH 2750 57322 0% 67% 4
4 ALGEBRA GEOMETRIA 49387 2% 9% 27
5 CIVIL ENGN PL MATH 34390 0% 40% 4
6 COURSESTAMA KU 21497 0% 100% 1
7 DEPALGEBRA GEOMETRIA 21497 0% 100% 1
8 ECOLA POLITECN SUPER ALCOI 21497 0% 100% 1
9 EQUIPE ANALYSE GEOMETRIE 21497 0% 100% 1
10 ESCOLA POLITEN SUPER ALCOI 21497 0% 100% 1

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 JOURNAL OF ALGEBRA 164078 22% 2% 318
2 COMMUNICATIONS IN ALGEBRA 113410 16% 2% 228
3 JOURNAL OF PURE AND APPLIED ALGEBRA 55876 8% 2% 124
4 JOURNAL OF COMMUTATIVE ALGEBRA 53099 2% 10% 24
5 NAGOYA MATHEMATICAL JOURNAL 19203 2% 3% 33
6 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 16033 8% 1% 113
7 MANUSCRIPTA MATHEMATICA 14960 3% 1% 48
8 MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY 14623 3% 1% 47
9 MATHEMATISCHE ZEITSCHRIFT 7332 3% 1% 42
10 TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 5254 3% 1% 48

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 REES ALGEBRA 1014745 5% 64% 74 Search REES+ALGEBRA Search REES+ALGEBRA
2 ASSOCIATED GRADED RING 860182 3% 78% 51 Search ASSOCIATED+GRADED+RING Search ASSOCIATED+GRADED+RING
3 REDUCTION NUMBER 460629 2% 71% 30 Search REDUCTION+NUMBER Search REDUCTION+NUMBER
4 FIBER CONE 400165 2% 85% 22 Search FIBER+CONE Search FIBER+CONE
5 MIXED MULTIPLICITY 366576 1% 95% 18 Search MIXED+MULTIPLICITY Search MIXED+MULTIPLICITY
6 HILBERT COEFFICIENTS 337400 1% 83% 19 Search HILBERT+COEFFICIENTS Search HILBERT+COEFFICIENTS
7 RESIDUAL INTERSECTION 257962 1% 100% 12 Search RESIDUAL+INTERSECTION Search RESIDUAL+INTERSECTION
8 COHEN MACAULAY RING 245895 2% 37% 31 Search COHEN+MACAULAY+RING Search COHEN+MACAULAY+RING
9 ANALYTIC SPREAD 200628 1% 67% 14 Search ANALYTIC+SPREAD Search ANALYTIC+SPREAD
10 INTEGRALLY CLOSED IDEAL 200082 1% 85% 11 Search INTEGRALLY+CLOSED+IDEAL Search INTEGRALLY+CLOSED+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.

Classes with closest relation at Level 1



rank cluster_id2 link
1 16409 TIGHT CLOSURE//TEST IDEAL//HILBERT KUNZ MULTIPLICITY
2 14589 LOCAL COHOMOLOGY//LOCAL COHOMOLOGY MODULES//COFINITE MODULES
3 27389 UNIVERSAL RESOLUTION//GELFAND MODEL//ENNOLA DUALITY
4 6895 MONOMIAL IDEALS//EDGE IDEAL//STANLEY DEPTH
5 13111 TORIC IDEAL//MARKOV BASIS//LATTICE IDEALS
6 33459 CREMONA MAP//DE JONQUIERES MAP//JACOBIAN DUAL RANK
7 15301 FAT POINTS//SECANT VARIETIES//SESHADRI CONSTANT
8 3388 GONALITY//BRILL NOETHER THEORY//LINEAR SERIES
9 7584 RESOLUTION OF SINGULARITIES//QUASI ORDINARY SINGULARITIES//ARC SPACE
10 5466 PREENVELOPE//PRECOVER//SEMIDUALIZING MODULE

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