Class information for:
Level 1: NUMERICAL SEMIGROUP//FROBENIUS NUMBER//MONOMIAL CURVE

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
19225 516 12.9 37%


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
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 NUMERICAL SEMIGROUP authKW 3614614 20% 60% 101
2 FROBENIUS NUMBER authKW 3536104 14% 85% 70
3 MONOMIAL CURVE authKW 1052159 5% 66% 27
4 APERY SET authKW 739694 3% 83% 15
5 PSEUDO FROBENIUS NUMBERS authKW 414232 1% 100% 7
6 SET THEORETIC COMPLETE INTERSECTION authKW 370384 3% 48% 13
7 SYMMETRIC NUMERICAL SEMIGROUP authKW 355056 1% 100% 6
8 ALGEBRA address 251451 18% 5% 93
9 IDEAL OF INITIAL FORMS authKW 236704 1% 100% 4
10 IRREDUCIBLE NUMERICAL SEMIGROUP authKW 236704 1% 100% 4

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 23398 91% 0% 467
2 Mathematics, Applied 1515 22% 0% 115
3 Computer Science, Theory & Methods 46 3% 0% 17
4 COMPUTER APPLICATIONS & CYBERNETICS 21 0% 0% 1
5 Operations Research & Management Science 5 1% 0% 6
6 Computer Science, Information Systems 1 1% 0% 5
7 Area Studies 0 0% 0% 1
8 Computer Science, Hardware & Architecture 0 0% 0% 2
9 Planning & Development 0 0% 0% 1
10 International Relations 0 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 ALGEBRA 251451 18% 5% 93
2 DITPEM 118352 0% 100% 2
3 WALES MATH COMPUTAT SCI 82182 1% 28% 5
4 DEP QUANTITAT METHODS ECON BUSINESS 59176 0% 100% 1
5 DTO CIENCIAS BASICAS LICADAS INGN FO TAL 59176 0% 100% 1
6 LMPA MATH PU PLIQUEES JOSEPH LIOUVILLE 59176 0% 100% 1
7 MATEMAT LICATA COMPUTAC 59176 0% 100% 1
8 MATEMAT UNIV VALLADOLID IMUVA 59176 0% 100% 1
9 POLIT SCI INTERIM DIRECTOR 59176 0% 100% 1
10 SECURE DATA 59176 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 SEMIGROUP FORUM 95203 12% 3% 61
2 COMMUNICATIONS IN ALGEBRA 17841 10% 1% 54
3 MATHEMATICA SCANDINAVICA 15431 4% 1% 19
4 JOURNAL OF PURE AND APPLIED ALGEBRA 13133 7% 1% 36
5 JOURNAL OF ALGEBRA 10885 9% 0% 49
6 JOURNAL OF COMMUTATIVE ALGEBRA 9990 1% 3% 6
7 MANUSCRIPTA MATHEMATICA 7280 4% 1% 20
8 JOURNAL OF NUMBER THEORY 3200 3% 0% 16
9 INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION 2704 1% 1% 7
10 ARCHIV DER MATHEMATIK 1676 2% 0% 12

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 NUMERICAL SEMIGROUP 3614614 20% 60% 101 Search NUMERICAL+SEMIGROUP Search NUMERICAL+SEMIGROUP
2 FROBENIUS NUMBER 3536104 14% 85% 70 Search FROBENIUS+NUMBER Search FROBENIUS+NUMBER
3 MONOMIAL CURVE 1052159 5% 66% 27 Search MONOMIAL+CURVE Search MONOMIAL+CURVE
4 APERY SET 739694 3% 83% 15 Search APERY+SET Search APERY+SET
5 PSEUDO FROBENIUS NUMBERS 414232 1% 100% 7 Search PSEUDO+FROBENIUS+NUMBERS Search PSEUDO+FROBENIUS+NUMBERS
6 SET THEORETIC COMPLETE INTERSECTION 370384 3% 48% 13 Search SET+THEORETIC+COMPLETE+INTERSECTION Search SET+THEORETIC+COMPLETE+INTERSECTION
7 SYMMETRIC NUMERICAL SEMIGROUP 355056 1% 100% 6 Search SYMMETRIC+NUMERICAL+SEMIGROUP Search SYMMETRIC+NUMERICAL+SEMIGROUP
8 IDEAL OF INITIAL FORMS 236704 1% 100% 4 Search IDEAL+OF+INITIAL+FORMS Search IDEAL+OF+INITIAL+FORMS
9 IRREDUCIBLE NUMERICAL SEMIGROUP 236704 1% 100% 4 Search IRREDUCIBLE+NUMERICAL+SEMIGROUP Search IRREDUCIBLE+NUMERICAL+SEMIGROUP
10 MAXIMAL EMBEDDING DIMENSION 236704 1% 100% 4 Search MAXIMAL+EMBEDDING+DIMENSION Search MAXIMAL+EMBEDDING+DIMENSION

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 FAILLA, G , PETERSON, C , UTANO, R , (2016) ALGORITHMS AND BASIC ASYMPTOTICS FOR GENERALIZED NUMERICAL SEMIGROUPS IN N.SEMIGROUP FORUM. VOL. 92. ISSUE 2. P. 460 -473 17 89% 0
2 STROMBERGSSON, A , (2012) ON THE LIMIT DISTRIBUTION OF FROBENIUS NUMBERS.ACTA ARITHMETICA. VOL. 152. ISSUE 1. P. 81-107 17 85% 8
3 NHAN, THN , SAHIN, M , (2015) EQUATIONS DEFINING RECURSIVE EXTENSIONS AS SET THEORETIC COMPLETE INTERSECTIONS.TOKYO JOURNAL OF MATHEMATICS. VOL. 38. ISSUE 1. P. 273 -282 14 100% 0
4 BLANCO, V , (2013) IRREDUCIBLE NUMERICAL SEMIGROUPS WITH MULTIPLICITY THREE AND FOUR.SEMIGROUP FORUM. VOL. 87. ISSUE 2. P. 407-427 14 100% 1
5 SAHIN, M , (2009) ON SYMMETRIC MONOMIAL CURVES IN P-3.TURKISH JOURNAL OF MATHEMATICS. VOL. 33. ISSUE 2. P. 107 -110 14 100% 0
6 JAFARI, R , ARMENGOU, SZ , (2014) ON MONOMIAL CURVES OBTAINED BY GLUING.SEMIGROUP FORUM. VOL. 88. ISSUE 2. P. 397 -416 13 87% 4
7 KATSABEKIS, A , MORALES, M , THOMA, A , (2010) BINOMIAL GENERATION OF THE RADICAL OF A LATTICE IDEAL.JOURNAL OF ALGEBRA. VOL. 324. ISSUE 6. P. 1334-1346 15 83% 2
8 SHARIFAN, L , ZAARE-NAHANDI, R , (2009) MINIMAL FREE RESOLUTION OF THE ASSOCIATED GRADED RING OF MONOMIAL CURVES OF GENERALIZED ARITHMETIC SEQUENCES.JOURNAL OF PURE AND APPLIED ALGEBRA. VOL. 213. ISSUE 3. P. 360-369 13 93% 3
9 ALIEV, I , FUKSHANSKY, L , HENK, M , (2012) GENERALIZED FROBENIUS NUMBERS: BOUNDS AND AVERAGE BEHAVIOR.ACTA ARITHMETICA. VOL. 155. ISSUE 1. P. 53-62 13 87% 0
10 ROBLES-PEREZ, AM , ROSALES, JC , (2016) THE GENUS, FROBENIUS NUMBER AND PSEUDO-FROBENIUS NUMBERS OF NUMERICAL SEMIGROUPS OF TYPE 2.PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS. VOL. 146. ISSUE 5. P. 1081 -1090 10 100% 0

Classes with closest relation at Level 1


Rank Class id link
1 9189 MONOMIAL IDEALS//EDGE IDEAL//STANLEY DEPTH
2 6843 REES ALGEBRA//ASSOCIATED GRADED RING//FIBER CONE
3 7763 HILBERT FUNCTION//GENERIC INITIAL IDEAL//WEAK LEFSCHETZ PROPERTY
4 22598 DEDEKIND SUMS//SUBDIVISION ALGEBRA//EHRHART POLYNOMIAL
5 4765 PRUFER DOMAIN//INTEGER VALUED POLYNOMIALS//STAR OPERATION
6 28473 KLEIN POLYHEDRON//MULTIDIMENSIONAL CONTINUED FRACTION//SIMULTANEOUS DIOPHANTINE APPROXIMATIONS
7 7735 BRILL NOETHER THEORY//GONALITY//LINEAR SERIES
8 9482 ALGEBRAIC GEOMETRY CODES//ALGEBRAIC GEOMETRIC CODES//GALOIS POINT
9 23509 TERNARY CYCLOTOMIC POLYNOMIAL//NUMBER FIELD SIEVE//POLYNOMIAL SELECTION
10 24868 REPRESENTATION FUNCTION//ERDOS TURAN CONJECTURE//SIDON SETS

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