Class information for:
Level 1: NONCOMMUTATIVE PROJECTIVE GEOMETRY//ARTIN SCHELTER REGULAR ALGEBRA//QUANTUM MATRICES

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
6123 1526 16.9 41%


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
1918 2             HOPF ALGEBRA//COMMUNICATIONS IN ALGEBRA//JOURNAL OF ALGEBRA 5853
6123 1                   NONCOMMUTATIVE PROJECTIVE GEOMETRY//ARTIN SCHELTER REGULAR ALGEBRA//QUANTUM MATRICES 1526

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 NONCOMMUTATIVE PROJECTIVE GEOMETRY authKW 440184 1% 100% 22
2 ARTIN SCHELTER REGULAR ALGEBRA authKW 367649 1% 88% 21
3 QUANTUM MATRICES authKW 308695 1% 86% 18
4 KOSZUL ALGEBRAS authKW 273868 2% 37% 37
5 YONEDA ALGEBRA authKW 257953 1% 68% 19
6 CALABI YAU ALGEBRA authKW 228650 1% 57% 20
7 NOETHERIAN GRADED RINGS authKW 220092 1% 100% 11
8 GENERALIZED WEYL ALGEBRA authKW 214151 1% 63% 17
9 POINT MODULE authKW 201749 1% 92% 11
10 JOURNAL OF ALGEBRA journal 182349 23% 3% 344

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 77495 96% 0% 1460
2 Mathematics, Applied 2570 17% 0% 263
3 Physics, Mathematical 117 3% 0% 48
4 Computer Science, Theory & Methods -2 0% 0% 7
5 Statistics & Probability -4 0% 0% 3
6 Automation & Control Systems -5 0% 0% 1
7 Operations Research & Management Science -6 0% 0% 1
8 Mathematics, Interdisciplinary Applications -6 0% 0% 1
9 Education & Educational Research -6 0% 0% 1
10 Physics, Particles & Fields -9 0% 0% 4

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 WNI 59692 1% 15% 20
2 SEMINARIO ALGEBRA CONSTRUCT SAC2 40017 0% 100% 2
3 PUCP 26676 0% 67% 2
4 EQUAT DERIVEES PARTIELLES PHYS MATH 25722 0% 43% 3
5 UMR6056 25722 0% 43% 3
6 ARGENTINA MATEMAT 20008 0% 100% 1
7 GRP ALGEBRA CONMUTAT COMPUTAC SAC 20008 0% 100% 1
8 HIGH MATH ECONOMISTS 20008 0% 100% 1
9 IFIC CSIC UVEG FUNDACIO GEN 20008 0% 100% 1
10 INFORMAT SCI TECHNOLSURUGA KU 20008 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 182349 23% 3% 344
2 COMMUNICATIONS IN ALGEBRA 124445 16% 3% 245
3 ALGEBRAS AND REPRESENTATION THEORY 44530 3% 5% 41
4 JOURNAL OF PURE AND APPLIED ALGEBRA 16742 5% 1% 70
5 JOURNAL OF ALGEBRA AND ITS APPLICATIONS 16245 2% 2% 33
6 GLASGOW MATHEMATICAL JOURNAL 15776 2% 2% 34
7 JOURNAL OF NONCOMMUTATIVE GEOMETRY 10768 1% 4% 12
8 JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES 8405 3% 1% 39
9 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 6801 5% 0% 76
10 BULLETIN OF THE LONDON MATHEMATICAL SOCIETY 6697 2% 1% 31

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 NONCOMMUTATIVE PROJECTIVE GEOMETRY 440184 1% 100% 22 Search NONCOMMUTATIVE+PROJECTIVE+GEOMETRY Search NONCOMMUTATIVE+PROJECTIVE+GEOMETRY
2 ARTIN SCHELTER REGULAR ALGEBRA 367649 1% 88% 21 Search ARTIN+SCHELTER+REGULAR+ALGEBRA Search ARTIN+SCHELTER+REGULAR+ALGEBRA
3 QUANTUM MATRICES 308695 1% 86% 18 Search QUANTUM+MATRICES Search QUANTUM+MATRICES
4 KOSZUL ALGEBRAS 273868 2% 37% 37 Search KOSZUL+ALGEBRAS Search KOSZUL+ALGEBRAS
5 YONEDA ALGEBRA 257953 1% 68% 19 Search YONEDA+ALGEBRA Search YONEDA+ALGEBRA
6 CALABI YAU ALGEBRA 228650 1% 57% 20 Search CALABI+YAU+ALGEBRA Search CALABI+YAU+ALGEBRA
7 NOETHERIAN GRADED RINGS 220092 1% 100% 11 Search NOETHERIAN+GRADED+RINGS Search NOETHERIAN+GRADED+RINGS
8 GENERALIZED WEYL ALGEBRA 214151 1% 63% 17 Search GENERALIZED+WEYL+ALGEBRA Search GENERALIZED+WEYL+ALGEBRA
9 POINT MODULE 201749 1% 92% 11 Search POINT+MODULE Search POINT+MODULE
10 AS REGULAR ALGEBRA 181892 1% 91% 10 Search AS+REGULAR+ALGEBRA Search AS+REGULAR+ALGEBRA

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 DAVIES, A , (2016) COCYCLE TWISTS OF 4-DIMENSIONAL SKLYANIN ALGEBRAS.JOURNAL OF ALGEBRA. VOL. 457. ISSUE . P. 323 -360 24 100% 0
2 STAFFORD, JT , VAN DEN BERGH, M , (2001) NONCOMMUTATIVE CURVES AND NONCOMMUTATIVE SURFACES.BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 38. ISSUE 2. P. 171 -216 37 84% 73
3 REYES, M , ROGALSKI, D , ZHANG, JJ , (2014) SKEW CALABI-YAU ALGEBRAS AND HOMOLOGICAL IDENTITIES.ADVANCES IN MATHEMATICS. VOL. 264. ISSUE . P. 308 -354 27 79% 11
4 LU, DM , PALMIERI, JH , WU, QS , ZHANG, JJ , (2007) REGULAR ALGEBRAS OF DIMENSION 4 AND THEIR A(INFINITY)-EXT-ALGEBRAS.DUKE MATHEMATICAL JOURNAL. VOL. 137. ISSUE 3. P. 537-584 28 93% 25
5 TANG, X , (2016) DOWN-UP ALGEBRAS OVER A POLYNOMIAL BASE RING K[T(1),..., T(N)].JOURNAL OF ALGEBRA AND ITS APPLICATIONS. VOL. 15. ISSUE 2. P. - 21 100% 0
6 ROGALSKI, D , SIERRA, SJ , STAFFORD, JT , (2015) CLASSIFYING ORDERS IN THE SKLYANIN ALGEBRA.ALGEBRA & NUMBER THEORY. VOL. 9. ISSUE 9. P. 2055 -2119 21 100% 1
7 BAVULA, VV , (2011) THE ALGEBRA OF INTEGRO-DIFFERENTIAL OPERATORS ON A POLYNOMIAL ALGEBRA.JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES. VOL. 83. ISSUE . P. 517 -543 28 82% 3
8 KIRKMAN, E , KUZMANOVICH, J , (2005) FIXED SUBRINGS OF NOETHERIAN GRADED REGULAR RINGS.JOURNAL OF ALGEBRA. VOL. 288. ISSUE 2. P. 463-484 26 100% 9
9 YAKIMOV, M , (2013) A PROOF OF THE GOODEARL-LENAGAN POLYNORMALITY CONJECTURE.INTERNATIONAL MATHEMATICS RESEARCH NOTICES. VOL. . ISSUE 9. P. 2097-2132 21 100% 2
10 YAKIMOV, M , (2013) SPECTRA AND CATENARITY OF MULTI-PARAMETER QUANTUM SCHUBERT CELLS.GLASGOW MATHEMATICAL JOURNAL. VOL. 55A. ISSUE . P. 169-194 23 88% 1

Classes with closest relation at Level 1


Rank Class id link
1 37240 VALUATION FILTRATION//COMPLETION OF FILTERED MODULE//FILTERED AND GRADED REDUCTORS
2 12465 COMMUNICATIONS IN ALGEBRA//CYCLE SET//SET THEORETIC SOLUTION
3 15284 FINITISTIC DIMENSION//QUASI HEREDITARY ALGEBRA//CATEGORY O
4 12786 SPRINGER FIBERS//NILPOTENT ORBITS//FINITE W ALGEBRAS
5 15423 PURE INJECTIVE MODULE//PURE SEMISIMPLE RING//KRULL SCHMIDT THEOREM
6 21991 MULTIVARIATE PUBLIC KEY CRYPTOSYSTEM//MULTIVARIATE CRYPTOGRAPHY//SFLASH
7 2116 HOPF ALGEBRA//WEAK HOPF ALGEBRA//YETTER DRINFELD MODULE
8 19986 LIE SUPERALGEBRA//CHARACTER FORMULA//KAC MODULE
9 31499 SECONDARY 14F22//14C22//AFFINE ALGEBRAIC SURFACE
10 10367 COMPACT QUANTUM GROUP//LOCALLY COMPACT QUANTUM GROUP//QUANTUM GROUPS

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