Class information for:
Level 2: LOCAL COHOMOLOGY//MONOMIAL IDEALS//LOCAL COHOMOLOGY MODULES

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
2282 4604 16.2 41%


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
2282 2             LOCAL COHOMOLOGY//MONOMIAL IDEALS//LOCAL COHOMOLOGY MODULES 4604
6843 1                   REES ALGEBRA//ASSOCIATED GRADED RING//FIBER CONE 1437
9189 1                   MONOMIAL IDEALS//EDGE IDEAL//STANLEY DEPTH 1180
14746 1                   LOCAL COHOMOLOGY//LOCAL COHOMOLOGY MODULES//COFINITE MODULES 752
15316 1                   TIGHT CLOSURE//TEST IDEAL//HILBERT KUNZ MULTIPLICITY 719
19225 1                   NUMERICAL SEMIGROUP//FROBENIUS NUMBER//MONOMIAL CURVE 516

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 LOCAL COHOMOLOGY authKW 1105509 5% 79% 211
2 MONOMIAL IDEALS authKW 754816 3% 76% 149
3 LOCAL COHOMOLOGY MODULES authKW 501933 2% 91% 83
4 EDGE IDEAL authKW 491940 2% 95% 78
5 NUMERICAL SEMIGROUP authKW 437651 2% 63% 105
6 STANLEY DEPTH authKW 417819 1% 98% 64
7 REES ALGEBRA authKW 413979 2% 74% 84
8 FROBENIUS NUMBER authKW 407592 2% 87% 71
9 ASSOCIATED PRIMES authKW 382161 2% 78% 74
10 TIGHT CLOSURE authKW 374805 1% 91% 62

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 221023 93% 1% 4285
2 Mathematics, Applied 13659 22% 0% 1031
3 Computer Science, Theory & Methods 143 2% 0% 103
4 Statistics & Probability 125 2% 0% 84
5 Operations Research & Management Science 19 1% 0% 44
6 Logic 4 0% 0% 5
7 COMPUTER APPLICATIONS & CYBERNETICS 1 0% 0% 1
8 Computer Science, Software Engineering -0 0% 0% 22
9 Demography -1 0% 0% 1
10 Computer Science, Cybernetics -2 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 60501 43% 0% 1971
2 ALGEBRA 39236 2% 5% 110
3 CULTURE EDUC 36787 1% 19% 30
4 HBEREICH MATH INFORMAT 32669 2% 7% 71
5 SCI COURSE 27625 0% 83% 5
6 PURE PL MATH 22603 1% 6% 61
7 ALGEBRA GEOMETRIA 21915 1% 10% 32
8 CNRSURA 188 21216 0% 80% 4
9 MATH 2750 21216 0% 80% 4
10 ECONOINFORMAT 20716 0% 63% 5

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 JOURNAL OF ALGEBRA 254125 15% 5% 706
2 COMMUNICATIONS IN ALGEBRA 228527 13% 6% 577
3 JOURNAL OF COMMUTATIVE ALGEBRA 204136 2% 38% 81
4 JOURNAL OF PURE AND APPLIED ALGEBRA 113400 7% 5% 316
5 NAGOYA MATHEMATICAL JOURNAL 43240 2% 7% 89
6 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 28759 6% 2% 271
7 MANUSCRIPTA MATHEMATICA 28321 3% 4% 118
8 ALGEBRA COLLOQUIUM 27828 2% 6% 70
9 BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE 20769 1% 10% 32
10 JOURNAL OF ALGEBRA AND ITS APPLICATIONS 16016 1% 4% 57

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 LOCAL COHOMOLOGY 1105509 5% 79% 211 Search LOCAL+COHOMOLOGY Search LOCAL+COHOMOLOGY
2 MONOMIAL IDEALS 754816 3% 76% 149 Search MONOMIAL+IDEALS Search MONOMIAL+IDEALS
3 LOCAL COHOMOLOGY MODULES 501933 2% 91% 83 Search LOCAL+COHOMOLOGY+MODULES Search LOCAL+COHOMOLOGY+MODULES
4 EDGE IDEAL 491940 2% 95% 78 Search EDGE+IDEAL Search EDGE+IDEAL
5 NUMERICAL SEMIGROUP 437651 2% 63% 105 Search NUMERICAL+SEMIGROUP Search NUMERICAL+SEMIGROUP
6 STANLEY DEPTH 417819 1% 98% 64 Search STANLEY+DEPTH Search STANLEY+DEPTH
7 REES ALGEBRA 413979 2% 74% 84 Search REES+ALGEBRA Search REES+ALGEBRA
8 FROBENIUS NUMBER 407592 2% 87% 71 Search FROBENIUS+NUMBER Search FROBENIUS+NUMBER
9 ASSOCIATED PRIMES 382161 2% 78% 74 Search ASSOCIATED+PRIMES Search ASSOCIATED+PRIMES
10 TIGHT CLOSURE 374805 1% 91% 62 Search TIGHT+CLOSURE Search TIGHT+CLOSURE

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 BIGATTI, AM , GIMENEZ, P , SAENZ-DE-CABEZON, E , (2013) INTRODUCTION.MONOMIAL IDEALS, COMPUTATIONS AND APPLICATIONS. VOL. 2083. ISSUE . P. VII -+ 93 79% 0
2 TRUNG, NV , VERMA, JK , (2010) HILBERT FUNCTIONS OF MULTIGRADED ALGEBRAS, MIXED MULTIPLICITIES OF IDEALS AND THEIR APPLICATIONS.JOURNAL OF COMMUTATIVE ALGEBRA. VOL. 2. ISSUE 4. P. 515-565 40 100% 1
3 SIMIS, A , ULRICH, B , VASCONCELOS, WV , (2003) REES ALGEBRAS OF MODULES.PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY. VOL. 87. ISSUE . P. 610-646 39 95% 32
4 REYES, E , TATAKIS, C , THOMA, A , (2012) MINIMAL GENERATORS OF TORIC IDEALS OF GRAPHS.ADVANCES IN APPLIED MATHEMATICS. VOL. 48. ISSUE 1. P. 64-78 26 100% 12
5 MONTANO, J , (2015) ARTIN-NAGATA PROPERTIES, MINIMAL MULTIPLICITIES, AND DEPTH OF FIBER CONES.JOURNAL OF ALGEBRA. VOL. 425. ISSUE . P. 423 -449 25 100% 0
6 KIMURA, K , (2016) NONVANISHING OF BETTI NUMBERS OF EDGE IDEALS AND COMPLETE BIPARTITE SUBGRAPHS.COMMUNICATIONS IN ALGEBRA. VOL. 44. ISSUE 2. P. 710 -730 25 96% 0
7 FOULI, L , LIN, KN , (2015) REES ALGEBRAS OF SQUARE-FREE MONOMIAL IDEALS.JOURNAL OF COMMUTATIVE ALGEBRA. VOL. 7. ISSUE 1. P. 25 -54 25 96% 0
8 EPSTEIN, N , YAO, YW , (2017) SOME EXTENSIONS OF HILBERT-KUNZ MULTIPLICITY.COLLECTANEA MATHEMATICA. VOL. 68. ISSUE 1. P. 69 -85 23 100% 0
9 POURNAKI, MR , FAKHARI, SAS , TERAI, N , YASSEMI, S , (2014) SURVEY ARTICLE: SIMPLICIAL COMPLEXES SATISFYING SERRE'S CONDITION: A SURVEY WITH SOME NEW RESULTS.JOURNAL OF COMMUTATIVE ALGEBRA. VOL. 6. ISSUE 4. P. 455 -483 26 93% 0
10 GHASEMI, G , BAHMANPOUR, K , A'ZAMI, J , (2016) ON THE COFINITENESS OF ARTINIAN LOCAL COHOMOLOGY MODULES.JOURNAL OF ALGEBRA AND ITS APPLICATIONS. VOL. 15. ISSUE 4. P. - 23 100% 0

Classes with closest relation at Level 2


Rank Class id link
1 507 MATHEMATICS//JOURNAL OF ALGEBRAIC GEOMETRY//MODULI SPACE
2 1267 COMMUNICATIONS IN ALGEBRA//MATHEMATICS//PRUFER DOMAIN
3 1540 MATHEMATICS//JACOBIAN CONJECTURE//O MINIMAL STRUCTURES
4 1441 GRAPH DRAWING//DISCRETE & COMPUTATIONAL GEOMETRY//CROSSING NUMBER
5 552 JOURNAL OF ALGEBRA//MATHEMATICS//ALGEBRAS AND REPRESENTATION THEORY
6 1707 JOURNAL OF SYMBOLIC COMPUTATION//SCALAR MULTIPLICATION//FINITE FIELDS
7 2478 CONVEX BODY//STAR BODY//INTERSECTION BODY
8 1918 HOPF ALGEBRA//COMMUNICATIONS IN ALGEBRA//JOURNAL OF ALGEBRA
9 953 MATHEMATICS//HOMOLOGY HOMOTOPY AND APPLICATIONS//ALGEBRAIC AND GEOMETRIC TOPOLOGY
10 3222 PRIVACY PRESERVING DATA MINING//STATISTICAL DISCLOSURE CONTROL//K ANONYMITY

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