Class information for:
Level 2: HILBERTS TENTH PROBLEM//BUTLER GROUPS//TOTALLY PROJECTIVE GROUPS

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
458 3       LOGIC//JOURNAL OF SYMBOLIC LOGIC//TOPOLOGY AND ITS APPLICATIONS 26185
3505 2             HILBERTS TENTH PROBLEM//BUTLER GROUPS//TOTALLY PROJECTIVE GROUPS 1550
10657 1                   BUTLER GROUPS//TOTALLY PROJECTIVE GROUPS//E RINGS 1074
25484 1                   HILBERTS TENTH PROBLEM//DIOPHANTINE DEFINITION//BUCHIS PROBLEM 304
36503 1                   2 NILPOTENT GROUP OF FINITE RANK//ABELIAN DEFORMATION//CANCELLABLE IN DIRECT PRODUCTS 97
37827 1                   DOMINION//SPECIAL AMALGAM//AXIOMATIC RANK 75

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 HILBERTS TENTH PROBLEM authKW 388593 2% 66% 29
2 BUTLER GROUPS authKW 243981 1% 100% 12
3 TOTALLY PROJECTIVE GROUPS authKW 203317 1% 100% 10
4 E RINGS authKW 184832 1% 91% 10
5 DIOPHANTINE DEFINITION authKW 142322 0% 100% 7
6 CELLULAR COVER authKW 121990 0% 100% 6
7 DIRECT SUMS OF CYCLIC GROUPS authKW 121990 0% 100% 6
8 NORMALIZED UNITS authKW 121990 0% 100% 6
9 QUOTIENT DIVISIBLE GROUP authKW 121990 0% 100% 6
10 SEPARABLE GROUPS authKW 121990 0% 100% 6

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 78530 96% 0% 1485
2 Logic 15989 7% 1% 110
3 Mathematics, Applied 3235 19% 0% 295
4 Multidisciplinary Sciences 25 1% 0% 15
5 Poetry 20 0% 0% 2
6 Computer Science, Theory & Methods 4 1% 0% 18
7 Computer Science, Software Engineering 0 1% 0% 9
8 Art -0 0% 0% 1
9 Humanities, Multidisciplinary -1 0% 0% 1
10 Statistics & Probability -1 0% 0% 6

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 HBEREICH MATH INFORMAT 6 84768 1% 30% 14
2 AREA GEOMETRIA TOPOL 45739 0% 38% 6
3 VAKGRP KWANTITAT TECH 40663 0% 100% 2
4 HBEREICH 6 30118 1% 11% 13
5 SERV LOG MATH ALGEBRE 27108 0% 67% 2
6 HBEREICH MATH 6 23852 1% 13% 9
7 CASE7012 20332 0% 100% 1
8 EQUIPE LOG URA 753 20332 0% 100% 1
9 GRP LOG STAT INFORMAT 20332 0% 100% 1
10 HBEREICH 6 MATH INFORMAT 20332 0% 100% 1

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 COMMUNICATIONS IN ALGEBRA 56756 11% 2% 166
2 JOURNAL OF ALGEBRA 34825 10% 1% 151
3 JOURNAL OF SYMBOLIC LOGIC 22380 4% 2% 57
4 HOUSTON JOURNAL OF MATHEMATICS 15534 3% 2% 39
5 ROCKY MOUNTAIN JOURNAL OF MATHEMATICS 14750 3% 2% 47
6 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 10230 6% 1% 93
7 SIBERIAN MATHEMATICAL JOURNAL 9399 2% 1% 38
8 ARCHIV DER MATHEMATIK 9116 3% 1% 48
9 JOURNAL OF PURE AND APPLIED ALGEBRA 7858 3% 1% 48
10 ALGEBRA AND LOGIC 7068 1% 3% 11

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 HILBERTS TENTH PROBLEM 388593 2% 66% 29 Search HILBERTS+TENTH+PROBLEM Search HILBERTS+TENTH+PROBLEM
2 BUTLER GROUPS 243981 1% 100% 12 Search BUTLER+GROUPS Search BUTLER+GROUPS
3 TOTALLY PROJECTIVE GROUPS 203317 1% 100% 10 Search TOTALLY+PROJECTIVE+GROUPS Search TOTALLY+PROJECTIVE+GROUPS
4 E RINGS 184832 1% 91% 10 Search E+RINGS Search E+RINGS
5 DIOPHANTINE DEFINITION 142322 0% 100% 7 Search DIOPHANTINE+DEFINITION Search DIOPHANTINE+DEFINITION
6 CELLULAR COVER 121990 0% 100% 6 Search CELLULAR+COVER Search CELLULAR+COVER
7 DIRECT SUMS OF CYCLIC GROUPS 121990 0% 100% 6 Search DIRECT+SUMS+OF+CYCLIC+GROUPS Search DIRECT+SUMS+OF+CYCLIC+GROUPS
8 NORMALIZED UNITS 121990 0% 100% 6 Search NORMALIZED+UNITS Search NORMALIZED+UNITS
9 QUOTIENT DIVISIBLE GROUP 121990 0% 100% 6 Search QUOTIENT+DIVISIBLE+GROUP Search QUOTIENT+DIVISIBLE+GROUP
10 SEPARABLE GROUPS 121990 0% 100% 6 Search SEPARABLE+GROUPS Search SEPARABLE+GROUPS

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 2



rank cluster_id2 link
1 589 COMMUNICATIONS IN ALGEBRA//MATHEMATICS//JOURNAL OF ALGEBRA
2 2586 JOURNAL OF SYMBOLIC LOGIC//LOGIC//O MINIMALITY
3 1372 LOGIC//JOURNAL OF SYMBOLIC LOGIC//ANNALS OF PURE AND APPLIED LOGIC
4 1250 MATHEMATICS//HOMOLOGY HOMOTOPY AND APPLICATIONS//JOURNAL OF PURE AND APPLIED ALGEBRA
5 2869 ALGEBRA UNIVERSALIS//NATURAL DUALITY//CONGRUENCE LATTICE
6 643 FINITE GROUP//JOURNAL OF ALGEBRA//MATHEMATICS
7 322 MATHEMATICS//JOURNAL OF NUMBER THEORY//ACTA ARITHMETICA
8 1026 MATHEMATICS//3 MANIFOLD//ALGEBRAIC AND GEOMETRIC TOPOLOGY
9 4214 SCATTERED SUBWORD//PARIKH MATRIX//SUBWORD
10 856 TOPOLOGY AND ITS APPLICATIONS//MATHEMATICS//APPLIED CATEGORICAL STRUCTURES

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