Class information for:
Level 1: GROBNER SHIRSHOV BASIS//QUASI SYMMETRIC FUNCTIONS//ROTA BAXTER ALGEBRA

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
12167 927 23.0 42%


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
234 3       JOURNAL OF ALGEBRA//MATHEMATICS//COMMUNICATIONS IN ALGEBRA 48681
552 2             JOURNAL OF ALGEBRA//MATHEMATICS//ALGEBRAS AND REPRESENTATION THEORY 14591
12167 1                   GROBNER SHIRSHOV BASIS//QUASI SYMMETRIC FUNCTIONS//ROTA BAXTER ALGEBRA 927

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 GROBNER SHIRSHOV BASIS authKW 1127820 5% 80% 43
2 QUASI SYMMETRIC FUNCTIONS authKW 930374 5% 58% 49
3 ROTA BAXTER ALGEBRA authKW 839425 3% 88% 29
4 DESCENT ALGEBRA authKW 759513 3% 82% 28
5 DENDRIFORM ALGEBRA authKW 758901 3% 96% 24
6 PRE LIE ALGEBRA authKW 710274 3% 74% 29
7 NONCOMMUTATIVE SYMMETRIC FUNCTIONS authKW 679558 3% 74% 28
8 COMBINATORIAL HOPF ALGEBRAS authKW 613156 2% 85% 22
9 DIALGEBRA authKW 383559 2% 61% 19
10 ROTA BAXTER OPERATORS authKW 370550 2% 75% 15

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 24867 70% 0% 649
2 Mathematics, Applied 3205 24% 0% 223
3 Physics, Mathematical 2468 15% 0% 138
4 Physics, Particles & Fields 189 6% 0% 52
5 Computer Science, Theory & Methods 55 3% 0% 26
6 Physics, Nuclear 22 2% 0% 21
7 Physics, Multidisciplinary 18 4% 0% 36
8 Logic 5 0% 0% 2
9 Literary Theory & Criticism 2 0% 0% 1
10 Computer Science, Software Engineering 0 1% 0% 5

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 GASPARD MONGE 172158 4% 13% 40
2 UMR6056 75285 0% 57% 4
3 FRE3111 74110 0% 75% 3
4 ALGEBRA SYST ANAL 65877 0% 100% 2
5 FRANCO RUSSE MATH 65877 0% 100% 2
6 UMR7590IPGP 43917 0% 67% 2
7 INFORMAT GASPARD MONGE 34600 1% 9% 12
8 ADV PROFESS EDUC 32938 0% 100% 1
9 AE 4108 32938 0% 100% 1
10 ALEXANDER VON HUMBOLDT CHAIR MATH PHYS 32938 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 ALGEBRAIC COMBINATORICS 102445 6% 5% 59
2 JOURNAL OF ALGEBRA 13056 8% 1% 72
3 ANNALS OF COMBINATORICS 12713 1% 3% 13
4 LETTERS IN MATHEMATICAL PHYSICS 11232 4% 1% 33
5 ADVANCES IN MATHEMATICS 10669 4% 1% 39
6 JOURNAL OF PURE AND APPLIED ALGEBRA 9452 4% 1% 41
7 ADVANCES IN APPLIED MATHEMATICS 9142 2% 1% 20
8 INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION 8888 2% 2% 17
9 JOURNAL OF COMBINATORIAL THEORY SERIES A 6752 3% 1% 26
10 JOURNAL OF ALGEBRA AND ITS APPLICATIONS 5518 2% 1% 15

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 GROBNER SHIRSHOV BASIS 1127820 5% 80% 43 Search GROBNER+SHIRSHOV+BASIS Search GROBNER+SHIRSHOV+BASIS
2 QUASI SYMMETRIC FUNCTIONS 930374 5% 58% 49 Search QUASI+SYMMETRIC+FUNCTIONS Search QUASI+SYMMETRIC+FUNCTIONS
3 ROTA BAXTER ALGEBRA 839425 3% 88% 29 Search ROTA+BAXTER+ALGEBRA Search ROTA+BAXTER+ALGEBRA
4 DESCENT ALGEBRA 759513 3% 82% 28 Search DESCENT+ALGEBRA Search DESCENT+ALGEBRA
5 DENDRIFORM ALGEBRA 758901 3% 96% 24 Search DENDRIFORM+ALGEBRA Search DENDRIFORM+ALGEBRA
6 PRE LIE ALGEBRA 710274 3% 74% 29 Search PRE+LIE+ALGEBRA Search PRE+LIE+ALGEBRA
7 NONCOMMUTATIVE SYMMETRIC FUNCTIONS 679558 3% 74% 28 Search NONCOMMUTATIVE+SYMMETRIC+FUNCTIONS Search NONCOMMUTATIVE+SYMMETRIC+FUNCTIONS
8 COMBINATORIAL HOPF ALGEBRAS 613156 2% 85% 22 Search COMBINATORIAL+HOPF+ALGEBRAS Search COMBINATORIAL+HOPF+ALGEBRAS
9 DIALGEBRA 383559 2% 61% 19 Search DIALGEBRA Search DIALGEBRA
10 ROTA BAXTER OPERATORS 370550 2% 75% 15 Search ROTA+BAXTER+OPERATORS Search ROTA+BAXTER+OPERATORS

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 EBRAHIMI-FARD, K , KREIMER, D , (2005) THE HOPF ALGEBRA APPROACH TO FEYNMAN DIAGRAM CALCULATIONS.JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL. VOL. 38. ISSUE 50. P. R385-R407 47 92% 15
2 EBRAHIMI-FARD, K , GUO, L , (2008) ROTA-BAXTER ALGEBRAS AND DENDRIFORM ALGEBRAS.JOURNAL OF PURE AND APPLIED ALGEBRA. VOL. 212. ISSUE 2. P. 320 -339 32 94% 16
3 BOKUT, LA , CHEN, YQ , (2014) GROBNER-SHIRSHOV BASES AND THEIR CALCULATION.BULLETIN OF MATHEMATICAL SCIENCES. VOL. 4. ISSUE 3. P. 325 -395 46 53% 6
4 LODAY, JL , (2008) GENERALIZED BIALGEBRAS AND TRIPLES OF OPERADS INTRODUCTION.ASTERISQUE. VOL. . ISSUE 320. P. 1-+ 38 75% 0
5 FOISSY, L , NOVELLI, JC , THIBON, JY , (2014) POLYNOMIAL REALIZATIONS OF SOME COMBINATORIAL HOPF ALGEBRAS.JOURNAL OF NONCOMMUTATIVE GEOMETRY. VOL. 8. ISSUE 1. P. 141 -162 23 100% 2
6 SHOJAEI-FARD, A , (2014) COUNTERTERMS IN THE CONTEXT OF THE UNIVERSAL HOPF ALGEBRA OF RENORMALIZATION.INTERNATIONAL JOURNAL OF MODERN PHYSICS A. VOL. 29. ISSUE 8. P. - 23 100% 0
7 BAI, CM , BELLIER, O , GUO, L , NI, X , (2013) SPLITTING OF OPERATIONS, MANIN PRODUCTS, AND ROTA-BAXTER OPERATORS.INTERNATIONAL MATHEMATICS RESEARCH NOTICES. VOL. . ISSUE 3. P. 485-524 23 96% 5
8 EBRAHIMI-FARD, K , MANCHON, D , PATRAS, F , (2009) A NONCOMMUTATIVE BOHNENBLUST-SPITZER IDENTITY FOR ROTA-BAXTER ALGEBRAS SOLVES BOGOLIUBOV'S RECURSION.JOURNAL OF NONCOMMUTATIVE GEOMETRY. VOL. 3. ISSUE 2. P. 181-222 27 90% 5
9 EBRAHIMI-FARD, K , GUO, L , (2008) FREE ROTA-BAXTER ALGEBRAS AND ROOTED TREES.JOURNAL OF ALGEBRA AND ITS APPLICATIONS. VOL. 7. ISSUE 2. P. 167-194 26 90% 8
10 NI, X , BAI, CM , (2012) OCTO-BIALGEBRAS.ALGEBRA COLLOQUIUM. VOL. 19. ISSUE 2. P. 305 -332 20 100% 0

Classes with closest relation at Level 1


Rank Class id link
1 28855 SUPERCHARACTERS//ALGEBRA GROUPS//FINITE UNIPOTENT GROUP
2 25558 WITT BURNSIDE RING//NECKLACE RING//CYCLOTOMIC IDENTITY
3 14883 STRING TOPOLOGY//BATALIN VILKOVISKY ALGEBRA//OPERADS
4 19219 DIAGONAL HARMONICS//AD NILPOTENT IDEAL//CYCLIC SIEVING PHENOMENON
5 14133 CD INDEX//EULERIAN POSET//FLAG F VECTOR
6 28789 RENNER MONOID//REDUCTIVE MONOID//ALGEBRAIC MONOIDS
7 19188 HOPF CYCLIC COHOMOLOGY//CYCLIC COHOMOLOGY//CYCLIC HOMOLOGY
8 12370 MULTIPLE ZETA VALUES//HURWITZ ZETA FUNCTION//EULER SUMS
9 11993 LEIBNIZ ALGEBRA//NATURAL GRADATION//LIE ALGEBRA
10 21759 LITTLEWOOD RICHARDSON COEFFICIENTS//KRONECKER COEFFICIENTS//GEOMETRIC COMPLEXITY THEORY

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