Class information for:
Level 1: HILBERT FUNCTION//GENERIC INITIAL IDEAL//WEAK LEFSCHETZ PROPERTY

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
7763 1331 16.6 43%


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
507 2             MATHEMATICS//JOURNAL OF ALGEBRAIC GEOMETRY//MODULI SPACE 15257
7763 1                   HILBERT FUNCTION//GENERIC INITIAL IDEAL//WEAK LEFSCHETZ PROPERTY 1331

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 HILBERT FUNCTION authKW 806592 6% 44% 80
2 GENERIC INITIAL IDEAL authKW 618163 2% 84% 32
3 WEAK LEFSCHETZ PROPERTY authKW 508206 2% 92% 24
4 LEVEL ALGEBRA authKW 417088 2% 91% 20
5 CASTELNUOVO MUMFORD REGULARITY authKW 345811 3% 36% 42
6 MINIMAL FREE RESOLUTION authKW 231423 2% 39% 26
7 BOREL FIXED IDEAL authKW 229400 1% 100% 10
8 ARTINIAN ALGEBRA authKW 224403 1% 65% 15
9 BOIJ SODERBERG THEORY authKW 208544 1% 91% 10
10 GRADED BETTI NUMBERS authKW 207161 1% 53% 17

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 69067 97% 0% 1287
2 Mathematics, Applied 4535 24% 0% 318
3 Computer Science, Theory & Methods 88 3% 0% 39
4 Computer Science, Interdisciplinary Applications -1 1% 0% 7
5 Multidisciplinary Sciences -2 0% 0% 1
6 Mechanics -13 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 SUNG BUK KU 73406 0% 80% 4
2 ALGEBRA GEOMETRIA 58153 2% 9% 28
3 FB MATH INFORMAT 6 50615 1% 28% 8
4 IST GEOMETRIA 45880 0% 100% 2
5 MATH INFORMAT FB 6 45880 0% 100% 2
6 SUNG BOOK KU 45880 0% 100% 2
7 DIPARTIMENTO MATEMAT 31569 10% 1% 138
8 DPT ALGEBRA GEOMETRIA 30585 0% 67% 2
9 ARITHMET GEOMETRIE ALGEBR 22940 0% 100% 1
10 C T RELATED SERV 22940 0% 100% 1

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 COMMUTATIVE ALGEBRA 84388 2% 13% 28
2 JOURNAL OF PURE AND APPLIED ALGEBRA 73865 10% 2% 137
3 COMMUNICATIONS IN ALGEBRA 50575 11% 2% 146
4 JOURNAL OF ALGEBRA 49124 13% 1% 167
5 COLLECTANEA MATHEMATICA 28132 1% 6% 19
6 ILLINOIS JOURNAL OF MATHEMATICS 12025 2% 2% 31
7 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 7819 6% 0% 76
8 COMPOSITIO MATHEMATICA 7310 2% 1% 28
9 MANUSCRIPTA MATHEMATICA 6325 2% 1% 30
10 TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 5959 4% 1% 49

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 HILBERT FUNCTION 806592 6% 44% 80 Search HILBERT+FUNCTION Search HILBERT+FUNCTION
2 GENERIC INITIAL IDEAL 618163 2% 84% 32 Search GENERIC+INITIAL+IDEAL Search GENERIC+INITIAL+IDEAL
3 WEAK LEFSCHETZ PROPERTY 508206 2% 92% 24 Search WEAK+LEFSCHETZ+PROPERTY Search WEAK+LEFSCHETZ+PROPERTY
4 LEVEL ALGEBRA 417088 2% 91% 20 Search LEVEL+ALGEBRA Search LEVEL+ALGEBRA
5 CASTELNUOVO MUMFORD REGULARITY 345811 3% 36% 42 Search CASTELNUOVO+MUMFORD+REGULARITY Search CASTELNUOVO+MUMFORD+REGULARITY
6 MINIMAL FREE RESOLUTION 231423 2% 39% 26 Search MINIMAL+FREE+RESOLUTION Search MINIMAL+FREE+RESOLUTION
7 BOREL FIXED IDEAL 229400 1% 100% 10 Search BOREL+FIXED+IDEAL Search BOREL+FIXED+IDEAL
8 ARTINIAN ALGEBRA 224403 1% 65% 15 Search ARTINIAN+ALGEBRA Search ARTINIAN+ALGEBRA
9 BOIJ SODERBERG THEORY 208544 1% 91% 10 Search BOIJ+SODERBERG+THEORY Search BOIJ+SODERBERG+THEORY
10 GRADED BETTI NUMBERS 207161 1% 53% 17 Search GRADED+BETTI+NUMBERS Search GRADED+BETTI+NUMBERS

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 AHN, J , PARK, JP , SHIN, YS , (2014) AN ARTINIAN QUOTIENT OF THE COORDINATE RING OF A COMPLETE INTERSECTION IN P-N HAVING THE WEAK LEFSCHETZ PROPERTY.COMMUNICATIONS IN ALGEBRA. VOL. 42. ISSUE 9. P. 4002 -4020 35 100% 0
2 GERAMITA, AV , HARIMA, T , MIGLIORE, JC , SHIN, YS , (2007) THE HILBERT FUNCTION OF A LEVEL ALGEBRA - INTRODUCTION.MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 186. ISSUE 872. P. 3-+ 44 90% 2
3 CAVIGLIA, G , SBARRA, E , (2016) THE LEX-PLUS-POWERS INEQUALITY FOR LOCAL COHOMOLOGY MODULES.MATHEMATISCHE ANNALEN. VOL. 364. ISSUE 1-2. P. 225 -241 28 100% 1
4 AHN, J , SHIN, YS , (2012) ARTINIAN LEVEL ALGEBRAS OF CODIMENSION 3.JOURNAL OF PURE AND APPLIED ALGEBRA. VOL. 216. ISSUE 1. P. 95-107 28 100% 1
5 MIGLIORE, J , NAGEL, U , (2013) SURVEY ARTICLE: A TOUR OF THE WEAK AND STRONG LEFSCHETZ PROPERTIES.JOURNAL OF COMMUTATIVE ALGEBRA. VOL. 5. ISSUE 3. P. 329 -358 31 84% 2
6 CAVIGLIA, G , SBARRA, E , (2015) ZERO-GENERIC INITIAL IDEALS.MANUSCRIPTA MATHEMATICA. VOL. 148. ISSUE 3-4. P. 507 -520 25 96% 1
7 WATANABE, J , (2013) POSET THEORY.LEFSCHETZ PROPERTIES. VOL. 2080. ISSUE . P. 1 -+ 34 67% 0
8 CRUPI, M , FERRO, C , (2015) BOUNDING BETTI NUMBERS OF MONOMIAL IDEALS IN THE EXTERIOR ALGEBRA.PURE AND APPLIED MATHEMATICS QUARTERLY. VOL. 11. ISSUE 2. P. 267 -281 22 96% 0
9 BOIJ, M , MIGLIORE, J , MIRO-ROIG, RM , NAGEL, U , ZANELLO, F , (2014) ON THE WEAK LEFSCHETZ PROPERTY FOR ARTINIAN GORENSTEIN ALGEBRAS OF CODIMENSION THREE.JOURNAL OF ALGEBRA. VOL. 403. ISSUE . P. 48 -68 23 92% 1
10 CAVIGLIA, G , KUMMINI, M , (2014) POSET EMBEDDINGS OF HILBERT FUNCTIONS AND BETTI NUMBERS.JOURNAL OF ALGEBRA. VOL. 410. ISSUE . P. 244-257 20 100% 0

Classes with closest relation at Level 1


Rank Class id link
1 17064 INSTANTON BUNDLES//ULRICH BUNDLES//GLOBALLY GENERATED
2 14561 FAT POINTS//SECANT VARIETIES//SESHADRI CONSTANT
3 9189 MONOMIAL IDEALS//EDGE IDEAL//STANLEY DEPTH
4 7735 BRILL NOETHER THEORY//GONALITY//LINEAR SERIES
5 6843 REES ALGEBRA//ASSOCIATED GRADED RING//FIBER CONE
6 19225 NUMERICAL SEMIGROUP//FROBENIUS NUMBER//MONOMIAL CURVE
7 14133 CD INDEX//EULERIAN POSET//FLAG F VECTOR
8 1202 FANO VARIETIES//ADJUNCTION THEORY//FANO MANIFOLDS
9 15316 TIGHT CLOSURE//TEST IDEAL//HILBERT KUNZ MULTIPLICITY
10 6132 JOURNAL OF SYMBOLIC COMPUTATION//POLYNOMIAL SYSTEM SOLVING//MATEMAT ESTADIST COMPUTAC

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