Class information for:
Level 1: REES ALGEBRA//ASSOCIATED GRADED RING//FIBER CONE

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
6843 1437 17.0 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
6843 1                   REES ALGEBRA//ASSOCIATED GRADED RING//FIBER CONE 1437

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 REES ALGEBRA authKW 974710 5% 64% 72
2 ASSOCIATED GRADED RING authKW 722069 3% 72% 47
3 FIBER CONE authKW 395527 2% 85% 22
4 MIXED MULTIPLICITY authKW 382459 1% 100% 18
5 REDUCTION NUMBER authKW 377776 2% 66% 27
6 HILBERT COEFFICIENTS authKW 348650 1% 86% 19
7 RESIDUAL INTERSECTION authKW 254972 1% 100% 12
8 RELATION TYPE authKW 218544 1% 86% 12
9 COHEN MACAULAY RING authKW 210827 2% 35% 28
10 ANALYTIC SPREAD authKW 198303 1% 67% 14

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 78162 99% 0% 1422
2 Mathematics, Applied 3111 19% 0% 278
3 Computer Science, Theory & Methods -0 1% 0% 9
4 Physics, Multidisciplinary -26 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 ECONOINFORMAT 66395 0% 63% 5
2 INFORMAT TECHNOL PL MATH 59017 0% 56% 5
3 ALGEBRA GEOMETRIA 42931 2% 8% 25
4 MATH 2750 38243 0% 60% 3
5 CIVIL ENGN PL MATH 33992 0% 40% 4
6 COURSESTAMA KU 21248 0% 100% 1
7 DEPALGEBRA GEOMETRIA 21248 0% 100% 1
8 ECOLA POLITECN SUPER ALCOI 21248 0% 100% 1
9 ESCOLA POLITEN SUPER ALCOI 21248 0% 100% 1
10 LOCAL BOURG B SE 21248 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 ALGEBRA 159269 22% 2% 312
2 COMMUNICATIONS IN ALGEBRA 114444 16% 2% 228
3 JOURNAL OF COMMUTATIVE ALGEBRA 57416 2% 11% 24
4 JOURNAL OF PURE AND APPLIED ALGEBRA 51573 8% 2% 119
5 NAGOYA MATHEMATICAL JOURNAL 17919 2% 3% 32
6 MANUSCRIPTA MATHEMATICA 17663 4% 2% 52
7 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 15247 8% 1% 110
8 MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY 11682 3% 1% 42
9 MATHEMATISCHE ZEITSCHRIFT 5409 3% 1% 36
10 MICHIGAN MATHEMATICAL JOURNAL 4719 1% 1% 18

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 REES ALGEBRA 974710 5% 64% 72 Search REES+ALGEBRA Search REES+ALGEBRA
2 ASSOCIATED GRADED RING 722069 3% 72% 47 Search ASSOCIATED+GRADED+RING Search ASSOCIATED+GRADED+RING
3 FIBER CONE 395527 2% 85% 22 Search FIBER+CONE Search FIBER+CONE
4 MIXED MULTIPLICITY 382459 1% 100% 18 Search MIXED+MULTIPLICITY Search MIXED+MULTIPLICITY
5 REDUCTION NUMBER 377776 2% 66% 27 Search REDUCTION+NUMBER Search REDUCTION+NUMBER
6 HILBERT COEFFICIENTS 348650 1% 86% 19 Search HILBERT+COEFFICIENTS Search HILBERT+COEFFICIENTS
7 RESIDUAL INTERSECTION 254972 1% 100% 12 Search RESIDUAL+INTERSECTION Search RESIDUAL+INTERSECTION
8 RELATION TYPE 218544 1% 86% 12 Search RELATION+TYPE Search RELATION+TYPE
9 COHEN MACAULAY RING 210827 2% 35% 28 Search COHEN+MACAULAY+RING Search COHEN+MACAULAY+RING
10 ANALYTIC SPREAD 198303 1% 67% 14 Search ANALYTIC+SPREAD Search ANALYTIC+SPREAD

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 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 39 98% 1
2 SIMIS, A , ULRICH, B , VASCONCELOS, WV , (2003) REES ALGEBRAS OF MODULES.PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY. VOL. 87. ISSUE . P. 610-646 38 93% 32
3 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
4 KUSTIN, AR , POLINI, C , ULRICH, B , (2016) BLOWUPS AND FIBERS OF MORPHISMS.NAGOYA MATHEMATICAL JOURNAL. VOL. 224. ISSUE 1. P. 168 -201 29 73% 0
5 MANTERO, P , XIE, Y , (2016) GENERALIZED STRETCHED IDEALS AND SALLY'S CONJECTURE.JOURNAL OF PURE AND APPLIED ALGEBRA. VOL. 220. ISSUE 3. P. 1157 -1177 21 100% 0
6 VIET, DQ , THANH, TTH , (2015) THE EULER-POINCARE CHARACTERISTIC AND MIXED MULTIPLICITIES.KYUSHU JOURNAL OF MATHEMATICS. VOL. 69. ISSUE 2. P. 393 -411 21 100% 0
7 POLINI, C , XIE, Y , (2013) J-MULTIPLICITY AND DEPTH OF ASSOCIATED GRADED MODULES.JOURNAL OF ALGEBRA. VOL. 379. ISSUE . P. 31-49 21 100% 3
8 CORSO, A , POLINI, C , ROSSI, ME , (2005) DEPTH OF ASSOCIATED GRADED RINGS VIA HILBERT COEFFICIENTS OF IDEALS.JOURNAL OF PURE AND APPLIED ALGEBRA. VOL. 201. ISSUE 1-3. P. 126-141 25 100% 6
9 MUINOS, F , PLANAS-VILANOVA, F , (2013) THE EQUATIONS OF REES ALGEBRAS OF EQUIMULTIPLE IDEALS OF DEVIATION ONE.PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 141. ISSUE 4. P. 1241 -1254 20 100% 2
10 XIE, Y , (2016) GENERALIZED HILBERT COEFFICIENTS AND NORTHCOTT'S INEQUALITY.JOURNAL OF ALGEBRA. VOL. 461. ISSUE . P. 177 -200 18 100% 0

Classes with closest relation at Level 1


Rank Class id link
1 15316 TIGHT CLOSURE//TEST IDEAL//HILBERT KUNZ MULTIPLICITY
2 14746 LOCAL COHOMOLOGY//LOCAL COHOMOLOGY MODULES//COFINITE MODULES
3 7763 HILBERT FUNCTION//GENERIC INITIAL IDEAL//WEAK LEFSCHETZ PROPERTY
4 26653 SUPERSYMMETRIC ALGEBRA//GELFAND MODEL//ABSOLUTE INVOLUTIONS
5 19225 NUMERICAL SEMIGROUP//FROBENIUS NUMBER//MONOMIAL CURVE
6 9189 MONOMIAL IDEALS//EDGE IDEAL//STANLEY DEPTH
7 19959 RESOLUTION OF SINGULARITIES//LOCAL UNIFORMIZATION//DESINGULARIZATION INVARIANT
8 14561 FAT POINTS//SECANT VARIETIES//SESHADRI CONSTANT
9 5360 LOJASIEWICZ EXPONENT//MILNOR NUMBER//MOTIVIC INTEGRATION
10 4765 PRUFER DOMAIN//INTEGER VALUED POLYNOMIALS//STAR OPERATION

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