Class information for:
Level 1: JACOBIAN CONJECTURE//POLYNOMIAL AUTOMORPHISMS//LOCALLY NILPOTENT DERIVATION

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
106 3       MATHEMATICS//COMMUNICATIONS IN ALGEBRA//MATH 74336
2407 2             LOCAL COHOMOLOGY//LOCAL COHOMOLOGY MODULES//TIGHT CLOSURE 4423
7387 1                   JACOBIAN CONJECTURE//POLYNOMIAL AUTOMORPHISMS//LOCALLY NILPOTENT DERIVATION 1399

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 JACOBIAN CONJECTURE authKW 1179527 5% 73% 72
2 POLYNOMIAL AUTOMORPHISMS authKW 583865 3% 72% 36
3 LOCALLY NILPOTENT DERIVATION authKW 448947 2% 59% 34
4 TAME AUTOMORPHISMS authKW 382075 2% 81% 21
5 GLOBAL INJECTIVITY authKW 316776 1% 94% 15
6 POLYNOMIAL ALGEBRA authKW 241682 2% 41% 26
7 CANCELLATION PROBLEM authKW 200680 1% 64% 14
8 RING OF CONSTANTS authKW 180211 1% 100% 8
9 MAKAR LIMANOV INVARIANT authKW 160186 1% 89% 8
10 ADDITIVE GROUP ACTIONS authKW 157685 1% 100% 7

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 72905 97% 0% 1359
2 Mathematics, Applied 6356 27% 0% 383
3 Logic 8 0% 0% 3
4 Computer Science, Cybernetics 0 0% 0% 2
5 Computer Science, Theory & Methods -0 1% 0% 9
6 Multidisciplinary Sciences -0 0% 0% 3
7 Physics, Mathematical -2 0% 0% 6
8 Computer Science, Software Engineering -2 0% 0% 3
9 Automation & Control Systems -4 0% 0% 1
10 Operations Research & Management Science -5 0% 0% 1

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 IMB UMR5584 30030 0% 33% 4
2 ALGEBRA GEOMETRIA TOPOLOG 22526 0% 100% 1
3 ALGEBRA GEOMETRY PLICAT 22526 0% 100% 1
4 CORE MATH 22526 0% 100% 1
5 ESCOLA PAULISTA SUPER 22526 0% 100% 1
6 GEOMETRIE EQUAT DERIVES PARTIELLES PHYS MAT 22526 0% 100% 1
7 ICMAT CSIC UAM UCM ALGEBRA UC3M 22526 0% 100% 1
8 LAREMA UMR6093 22526 0% 100% 1
9 MATEMAT BOURGOGNE 22526 0% 100% 1
10 MATH HEIDELBERG 22526 0% 100% 1

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 JOURNAL OF PURE AND APPLIED ALGEBRA 110199 12% 3% 170
2 TRANSFORMATION GROUPS 41376 2% 6% 33
3 JOURNAL OF ALGEBRA 30838 10% 1% 135
4 COMMUNICATIONS IN ALGEBRA 23213 7% 1% 101
5 OSAKA JOURNAL OF MATHEMATICS 22095 3% 2% 43
6 JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY 9104 2% 2% 22
7 INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION 9039 2% 2% 21
8 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 8170 6% 0% 79
9 MATHEMATISCHE ANNALEN 3906 2% 1% 29
10 MICHIGAN MATHEMATICAL JOURNAL 3889 1% 1% 16

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 JACOBIAN CONJECTURE 1179527 5% 73% 72 Search JACOBIAN+CONJECTURE Search JACOBIAN+CONJECTURE
2 POLYNOMIAL AUTOMORPHISMS 583865 3% 72% 36 Search POLYNOMIAL+AUTOMORPHISMS Search POLYNOMIAL+AUTOMORPHISMS
3 LOCALLY NILPOTENT DERIVATION 448947 2% 59% 34 Search LOCALLY+NILPOTENT+DERIVATION Search LOCALLY+NILPOTENT+DERIVATION
4 TAME AUTOMORPHISMS 382075 2% 81% 21 Search TAME+AUTOMORPHISMS Search TAME+AUTOMORPHISMS
5 GLOBAL INJECTIVITY 316776 1% 94% 15 Search GLOBAL+INJECTIVITY Search GLOBAL+INJECTIVITY
6 POLYNOMIAL ALGEBRA 241682 2% 41% 26 Search POLYNOMIAL+ALGEBRA Search POLYNOMIAL+ALGEBRA
7 CANCELLATION PROBLEM 200680 1% 64% 14 Search CANCELLATION+PROBLEM Search CANCELLATION+PROBLEM
8 RING OF CONSTANTS 180211 1% 100% 8 Search RING+OF+CONSTANTS Search RING+OF+CONSTANTS
9 MAKAR LIMANOV INVARIANT 160186 1% 89% 8 Search MAKAR+LIMANOV+INVARIANT Search MAKAR+LIMANOV+INVARIANT
10 ADDITIVE GROUP ACTIONS 157685 1% 100% 7 Search ADDITIVE+GROUP+ACTIONS Search ADDITIVE+GROUP+ACTIONS

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 25517 OKA MANIFOLD//STEIN MANIFOLD//OKA PRINCIPLE
2 7584 RESOLUTION OF SINGULARITIES//QUASI ORDINARY SINGULARITIES//ARC SPACE
3 37231 MAXIMALLY DIFFERENTIAL IDEALS//HASSE SCHMIDT DERIVATIONS//HIGHER DIFFERENTIAL ALGEBRA
4 15176 COX RING//SPHERICAL VARIETIES//WONDERFUL VARIETIES
5 33459 CREMONA MAP//DE JONQUIERES MAP//JACOBIAN DUAL RANK
6 25001 UNIVERSAL ALGEBRAIC GEOMETRY//UNIVERSAL EQUIVALENCE//ALGEBRA AND LOGIC
7 19646 ZENTRUM MATH M11//MODULAR INVARIANT THEORY//SEPARATING INVARIANTS
8 15742 GREEN CURRENT//DYNAMICAL DEGREES//HENON MAPS
9 38324 SINGLE PARITY CHECK SPC CODES//ARQ FEC//ARQ PACKET
10 22842 UNIMODULAR ROWS//EULER CLASS GROUPS//UNIMODULAR ELEMENTS

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