Class information for:
Level 1: ESSENTIAL DIMENSION//CENTRAL SIMPLE ALGEBRAS//BRAUER GROUP

Basic class information
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
14 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 912822
368 3       JOURNAL OF NUMBER THEORY//MATHEMATICS//ACTA ARITHMETICA 35230
322 2             MATHEMATICS//JOURNAL OF NUMBER THEORY//ACTA ARITHMETICA 18548
4672 1                   ESSENTIAL DIMENSION//CENTRAL SIMPLE ALGEBRAS//BRAUER GROUP 1770

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 ESSENTIAL DIMENSION authKW 500744 2% 94% 30
2 CENTRAL SIMPLE ALGEBRAS authKW 478566 3% 54% 50
3 BRAUER GROUP authKW 318978 3% 32% 56
4 GALOIS COHOMOLOGY authKW 309625 3% 37% 47
5 PFISTER FORM authKW 284862 1% 80% 20
6 BRAUER MANIN OBSTRUCTION authKW 284846 2% 57% 28
7 PROJECTIVE HOMOGENEOUS VARIETIES authKW 197216 1% 92% 12
8 U INVARIANT authKW 188054 1% 81% 13
9 SEVERI BRAUER VARIETIES authKW 183127 1% 86% 12
10 LINEAR ALGEBRAIC GROUP authKW 182305 1% 64% 16

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 92633 97% 0% 1723
2 Mathematics, Applied 990 11% 0% 187
3 Multidisciplinary Sciences 113 2% 0% 29
4 Logic 2 0% 0% 2
5 Physics, Mathematical -5 0% 0% 5
6 Automation & Control Systems -6 0% 0% 1
7 Operations Research & Management Science -7 0% 0% 1
8 Computer Science, Theory & Methods -9 0% 0% 2
9 Mechanics -16 0% 0% 2
10 Physics, Condensed Matter -42 0% 0% 1

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 MATH LENS EA2462 53413 0% 100% 3
2 CSAGSTN 8 35609 0% 100% 2
3 EA2462 35609 0% 100% 2
4 FSB MA 35609 0% 100% 2
5 HBREICH MATH STAT 35609 0% 100% 2
6 ZUKUNFTSKOLLEG FB MATH STAT 35609 0% 100% 2
7 LEHRSTUHL MATH ALGEBRA 35605 0% 50% 4
8 MATH LENS 29417 1% 18% 9
9 RAYMOND BEVERLY SACKLER MATH SCI 27254 1% 13% 12
10 MATH LENS EA 2462 27252 0% 22% 7

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 JOURNAL OF ALGEBRA 79831 14% 2% 244
2 COMMUNICATIONS IN ALGEBRA 26759 7% 1% 122
3 JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK 18001 3% 2% 61
4 TRANSFORMATION GROUPS 15865 1% 4% 23
5 K-THEORY 15304 1% 5% 19
6 ALGEBRA & NUMBER THEORY 14527 1% 4% 21
7 MANUSCRIPTA MATHEMATICA 12374 3% 1% 48
8 MATHEMATISCHE ZEITSCHRIFT 12003 3% 1% 59
9 JOURNAL OF PURE AND APPLIED ALGEBRA 11497 4% 1% 62
10 COMMENTARII MATHEMATICI HELVETICI 8638 1% 2% 25

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 ESSENTIAL DIMENSION 500744 2% 94% 30 Search ESSENTIAL+DIMENSION Search ESSENTIAL+DIMENSION
2 CENTRAL SIMPLE ALGEBRAS 478566 3% 54% 50 Search CENTRAL+SIMPLE+ALGEBRAS Search CENTRAL+SIMPLE+ALGEBRAS
3 BRAUER GROUP 318978 3% 32% 56 Search BRAUER+GROUP Search BRAUER+GROUP
4 GALOIS COHOMOLOGY 309625 3% 37% 47 Search GALOIS+COHOMOLOGY Search GALOIS+COHOMOLOGY
5 PFISTER FORM 284862 1% 80% 20 Search PFISTER+FORM Search PFISTER+FORM
6 BRAUER MANIN OBSTRUCTION 284846 2% 57% 28 Search BRAUER+MANIN+OBSTRUCTION Search BRAUER+MANIN+OBSTRUCTION
7 PROJECTIVE HOMOGENEOUS VARIETIES 197216 1% 92% 12 Search PROJECTIVE+HOMOGENEOUS+VARIETIES Search PROJECTIVE+HOMOGENEOUS+VARIETIES
8 U INVARIANT 188054 1% 81% 13 Search U+INVARIANT Search U+INVARIANT
9 SEVERI BRAUER VARIETIES 183127 1% 86% 12 Search SEVERI+BRAUER+VARIETIES Search SEVERI+BRAUER+VARIETIES
10 LINEAR ALGEBRAIC GROUP 182305 1% 64% 16 Search LINEAR+ALGEBRAIC+GROUP Search LINEAR+ALGEBRAIC+GROUP

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.

Classes with closest relation at Level 1


rank cluster_id2 link
1 17596 WITT EQUIVALENCE//WITT RING//DEFINABLE VALUATIONS
2 6623 ALGEBRAIC CYCLES//CHOW GROUPS//MOTIVIC COHOMOLOGY
3 19751 NOETHERS PROBLEM//RATIONALITY PROBLEM//GENERIC POLYNOMIALS
4 24195 FILIAL RING//ACCESSIBLE SUBRING//DUBROVIN VALUATION RING
5 23674 MANINS CONJECTURE//HERMITE CONSTANT//UNIVERSAL TORSORS
6 12226 REAL ALGEBRAIC VARIETY//SPECIAL GROUPS//REAL PLACES
7 17796 ELEMENTARY SUBGROUP//CHEVALLEY GROUPS//DECOMPOSITION OF UNIPOTENTS
8 9935 ELLIPTIC CURVES//CONGRUENT NUMBERS//MODULAR CURVES
9 22540 ABELIAN VARIETIES//HODGE CONJECTURE//STANDARD CONJECTURE OF LEFSCHETZ TYPE
10 21341 TERNARY QUADRATIC FORMS//SPINOR CLASS FIELDS//REPRESENTATIONS OF INTEGERS

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