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

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
15316 719 17.3 40%


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
15316 1                   TIGHT CLOSURE//TEST IDEAL//HILBERT KUNZ MULTIPLICITY 719

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 TIGHT CLOSURE authKW 1889174 8% 81% 55
2 TEST IDEAL authKW 1124142 4% 88% 30
3 HILBERT KUNZ MULTIPLICITY authKW 639514 2% 94% 16
4 F PURE authKW 424679 1% 100% 10
5 HILBERT KUNZ FUNCTION authKW 339743 1% 100% 8
6 FROBENIUS HOMOMORPHISM authKW 312715 1% 82% 9
7 MULTIPLIER IDEAL authKW 299033 2% 54% 13
8 BIG COHEN MACAULAY ALGEBRAS authKW 254807 1% 100% 6
9 F PURE THRESHOLD authKW 254807 1% 100% 6
10 F SIGNATURE authKW 212339 1% 100% 5

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 39277 99% 0% 713
2 Mathematics, Applied 950 15% 0% 111
3 Logic 39 1% 0% 4
4 Computer Science, Theory & Methods -1 0% 0% 3
5 Physics, Mathematical -4 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 HIGASHI KU 42468 0% 100% 1
2 RAD MATH 42468 0% 100% 1
3 SERV ALEGEBRE 42468 0% 100% 1
4 SERV ALGEBRA CP 211 42468 0% 100% 1
5 SERV ALGEBRE 42468 0% 100% 1
6 MATH FB08 21233 0% 50% 1
7 MATEMAT IMUS 21231 0% 25% 2
8 MATH 16355 56% 0% 402
9 HBEREICH MATH INFORMAT 6 14450 1% 9% 4
10 PURE MATH 14319 4% 1% 31

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 86896 23% 1% 163
2 NAGOYA MATHEMATICAL JOURNAL 33668 4% 3% 31
3 COMMUNICATIONS IN ALGEBRA 15260 8% 1% 59
4 MICHIGAN MATHEMATICAL JOURNAL 12893 3% 1% 21
5 ALGEBRA & NUMBER THEORY 12110 2% 2% 12
6 JOURNAL OF PURE AND APPLIED ALGEBRA 11044 5% 1% 39
7 TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 8153 6% 0% 42
8 AMERICAN JOURNAL OF MATHEMATICS 7743 3% 1% 18
9 MATHEMATICAL RESEARCH LETTERS 6900 2% 1% 17
10 ILLINOIS JOURNAL OF MATHEMATICS 6695 2% 1% 17

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 TIGHT CLOSURE 1889174 8% 81% 55 Search TIGHT+CLOSURE Search TIGHT+CLOSURE
2 TEST IDEAL 1124142 4% 88% 30 Search TEST+IDEAL Search TEST+IDEAL
3 HILBERT KUNZ MULTIPLICITY 639514 2% 94% 16 Search HILBERT+KUNZ+MULTIPLICITY Search HILBERT+KUNZ+MULTIPLICITY
4 F PURE 424679 1% 100% 10 Search F+PURE Search F+PURE
5 HILBERT KUNZ FUNCTION 339743 1% 100% 8 Search HILBERT+KUNZ+FUNCTION Search HILBERT+KUNZ+FUNCTION
6 FROBENIUS HOMOMORPHISM 312715 1% 82% 9 Search FROBENIUS+HOMOMORPHISM Search FROBENIUS+HOMOMORPHISM
7 MULTIPLIER IDEAL 299033 2% 54% 13 Search MULTIPLIER+IDEAL Search MULTIPLIER+IDEAL
8 BIG COHEN MACAULAY ALGEBRAS 254807 1% 100% 6 Search BIG+COHEN+MACAULAY+ALGEBRAS Search BIG+COHEN+MACAULAY+ALGEBRAS
9 F PURE THRESHOLD 254807 1% 100% 6 Search F+PURE+THRESHOLD Search F+PURE+THRESHOLD
10 F SIGNATURE 212339 1% 100% 5 Search F+SIGNATURE Search F+SIGNATURE

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 TUCKER, K , (2012) F-SIGNATURE EXISTS.INVENTIONES MATHEMATICAE. VOL. 190. ISSUE 3. P. 743-765 22 100% 5
2 SCHWEDE, K , TUCKER, K , (2014) ON THE BEHAVIOR OF TEST IDEALS UNDER FINITE MORPHISMS.JOURNAL OF ALGEBRAIC GEOMETRY. VOL. 23. ISSUE 3. P. 399 -443 24 86% 2
3 BLICKLE, M , SCHWEDE, K , TAKAGI, S , ZHANG, WL , (2010) DISCRETENESS AND RATIONALITY OF F-JUMPING NUMBERS ON SINGULAR VARIETIES.MATHEMATISCHE ANNALEN. VOL. 347. ISSUE 4. P. 917-949 27 79% 12
4 BLICKLE, M , SCHWEDE, K , TUCKER, K , (2012) F-SIGNATURE OF PAIRS AND THE ASYMPTOTIC BEHAVIOR OF FROBENIUS SPLITTINGS.ADVANCES IN MATHEMATICS. VOL. 231. ISSUE 6. P. 3232-3258 22 96% 1
5 NUNEZ-BETANCOURT, L , PEREZ, F , (2016) F-JUMPING AND F-JACOBIAN IDEALS FOR HYPERSURFACES.JOURNAL OF PURE AND APPLIED ALGEBRA. VOL. 220. ISSUE 1. P. 292 -318 21 88% 0
6 HERNANDEZ, DJ , NUNEZ-BETANCOURT, L , WITT, EE , ZHANG, WL , (2016) F-PURE THRESHOLDS OF HOMOGENEOUS POLYNOMIALS.MICHIGAN MATHEMATICAL JOURNAL. VOL. 65. ISSUE 1. P. 57 -87 20 91% 0
7 SCHWEDE, K , (2011) TEST IDEALS IN NON-Q-GORENSTEIN RINGS.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 363. ISSUE 11. P. 5925-5941 21 91% 10
8 BLICKLE, M , SCHWEDE, K , TUCKER, K , (2013) F-SIGNATURE OF PAIRS: CONTINUITY, P-FRACTALS AND MINIMAL LOG DISCREPANCIES.JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES. VOL. 87. ISSUE . P. 802-818 18 100% 0
9 SCHWEDE, K , (2010) CENTERS OF F-PURITY.MATHEMATISCHE ZEITSCHRIFT. VOL. 265. ISSUE 3. P. 687 -714 22 81% 7
10 SCHWEDE, K , TUCKER, K , (2014) TEST IDEALS OF NON-PRINCIPAL IDEALS: COMPUTATIONS, JUMPING NUMBERS, ALTERATIONS AND DIVISION THEOREMS.JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES. VOL. 102. ISSUE 5. P. 891 -929 22 73% 1

Classes with closest relation at Level 1


Rank Class id link
1 14746 LOCAL COHOMOLOGY//LOCAL COHOMOLOGY MODULES//COFINITE MODULES
2 6843 REES ALGEBRA//ASSOCIATED GRADED RING//FIBER CONE
3 19959 RESOLUTION OF SINGULARITIES//LOCAL UNIFORMIZATION//DESINGULARIZATION INVARIANT
4 1202 FANO VARIETIES//ADJUNCTION THEORY//FANO MANIFOLDS
5 4784 PREENVELOPE//PRECOVER//SEMIDUALIZING MODULE
6 7763 HILBERT FUNCTION//GENERIC INITIAL IDEAL//WEAK LEFSCHETZ PROPERTY
7 6160 HIGGS BUNDLES//PARABOLIC BUNDLE//PRINCIPAL BUNDLE
8 5360 LOJASIEWICZ EXPONENT//MILNOR NUMBER//MOTIVIC INTEGRATION
9 10024 BRUHAT ORDER//SCHUBERT VARIETIES//SCHUBERT POLYNOMIALS
10 16033 SPHERICAL VARIETIES//COX RING//WONDERFUL VARIETIES

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