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

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
8212 1280 14.2 36%


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
325 3       MATHEMATICS//COMMUNICATIONS IN ALGEBRA//JOURNAL OF ALGEBRA 38375
1540 2             MATHEMATICS//JACOBIAN CONJECTURE//O MINIMAL STRUCTURES 7449
8212 1                   JACOBIAN CONJECTURE//POLYNOMIAL AUTOMORPHISMS//LOCALLY NILPOTENT DERIVATION 1280

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 JACOBIAN CONJECTURE authKW 1192666 5% 71% 70
2 POLYNOMIAL AUTOMORPHISMS authKW 574467 3% 71% 34
3 LOCALLY NILPOTENT DERIVATION authKW 572475 3% 67% 36
4 TAME AUTOMORPHISMS authKW 366977 2% 77% 20
5 GLOBAL INJECTIVITY authKW 335447 1% 94% 15
6 POLYNOMIAL ALGEBRA authKW 228971 2% 40% 24
7 MAKAR LIMANOV INVARIANT authKW 214687 1% 100% 9
8 CANCELLATION PROBLEM authKW 212508 1% 64% 14
9 RING OF CONSTANTS authKW 190833 1% 100% 8
10 ADDITIVE GROUP ACTIONS authKW 166979 1% 100% 7

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 66236 97% 0% 1236
2 Mathematics, Applied 6680 29% 0% 374
3 Logic 3 0% 0% 2
4 Computer Science, Cybernetics 1 0% 0% 2
5 Computer Science, Theory & Methods 0 1% 0% 11
6 Multidisciplinary Sciences -0 0% 0% 3
7 Physics, Mathematical -1 1% 0% 7
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


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 IMB UMR5584 26832 0% 38% 3
2 ALGEBRA GEOMETRIA TOPOLOG 23854 0% 100% 1
3 ALGEBRA GEOMETRY PLICAT 23854 0% 100% 1
4 COMPLEX SYST GRPEDIFICIO CACTUS 23854 0% 100% 1
5 CORE MATH 23854 0% 100% 1
6 ESCOLA PAULISTA SUPER 23854 0% 100% 1
7 GEOMETRIE EQUAT DERIVES PARTIELLES PHYS MAT 23854 0% 100% 1
8 ICMAT CSIC UAM UCM ALGEBRA UC3M 23854 0% 100% 1
9 MATEMAT BOURGOGNE 23854 0% 100% 1
10 MATH HEIDELBERG 23854 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 PURE AND APPLIED ALGEBRA 116975 13% 3% 169
2 TRANSFORMATION GROUPS 49354 3% 6% 34
3 JOURNAL OF ALGEBRA 30905 10% 1% 130
4 OSAKA JOURNAL OF MATHEMATICS 23809 3% 2% 43
5 COMMUNICATIONS IN ALGEBRA 18181 7% 1% 86
6 JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY 9651 2% 2% 22
7 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 7711 6% 0% 74
8 MATHEMATISCHE ANNALEN 4838 2% 1% 31
9 INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION 4354 1% 1% 14
10 MICHIGAN MATHEMATICAL JOURNAL 4186 1% 1% 16

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 JACOBIAN CONJECTURE 1192666 5% 71% 70 Search JACOBIAN+CONJECTURE Search JACOBIAN+CONJECTURE
2 POLYNOMIAL AUTOMORPHISMS 574467 3% 71% 34 Search POLYNOMIAL+AUTOMORPHISMS Search POLYNOMIAL+AUTOMORPHISMS
3 LOCALLY NILPOTENT DERIVATION 572475 3% 67% 36 Search LOCALLY+NILPOTENT+DERIVATION Search LOCALLY+NILPOTENT+DERIVATION
4 TAME AUTOMORPHISMS 366977 2% 77% 20 Search TAME+AUTOMORPHISMS Search TAME+AUTOMORPHISMS
5 GLOBAL INJECTIVITY 335447 1% 94% 15 Search GLOBAL+INJECTIVITY Search GLOBAL+INJECTIVITY
6 POLYNOMIAL ALGEBRA 228971 2% 40% 24 Search POLYNOMIAL+ALGEBRA Search POLYNOMIAL+ALGEBRA
7 MAKAR LIMANOV INVARIANT 214687 1% 100% 9 Search MAKAR+LIMANOV+INVARIANT Search MAKAR+LIMANOV+INVARIANT
8 CANCELLATION PROBLEM 212508 1% 64% 14 Search CANCELLATION+PROBLEM Search CANCELLATION+PROBLEM
9 RING OF CONSTANTS 190833 1% 100% 8 Search RING+OF+CONSTANTS Search RING+OF+CONSTANTS
10 ADDITIVE GROUP ACTIONS 166979 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.


Rank Reference # ref.
in cl.		 Shr. of ref. in
cl.		 Citations
1 DUTTA, AK , GUPTA, N , (2015) THE EPIMORPHISM THEOREM AND ITS GENERALIZATIONS.JOURNAL OF ALGEBRA AND ITS APPLICATIONS. VOL. 14. ISSUE 9. P. - 37 79% 1
2 GONG, SJ , YU, JT , (2008) TEST ELEMENTS, RETRACTS AND AUTOMORPHIC ORBITS.JOURNAL OF ALGEBRA. VOL. 320. ISSUE 7. P. 3062-3068 23 100% 3
3 KARAS, M , (2011) MULTIDEGREES OF TAME AUTOMORPHISMS OF C-N.DISSERTATIONES MATHEMATICAE. VOL. . ISSUE 477. P. 5 -+ 21 100% 5
4 MIKHALEV, AA , YU, JT , (2000) PRIMITIVE, ALMOST PRIMITIVE, TEST, AND DELTA-PRIMITIVE ELEMENTS OF FREE ALGEBRAS WITH THE NIELSEN-SCHREIER PROPERTY.JOURNAL OF ALGEBRA. VOL. 228. ISSUE 2. P. 603-623 32 84% 11
5 FERNANDES, A , MAQUERA, C , VENATO-SANTOS, J , (2014) JACOBIAN CONJECTURE AND SEMI-ALGEBRAIC MAPS.MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY. VOL. 157. ISSUE 2. P. 221 -229 16 100% 0
6 GUPTA, N , (2015) A SURVEY ON ZARISKI CANCELLATION PROBLEM.INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS. VOL. 46. ISSUE 6. P. 865 -877 16 94% 0
7 DUBOULOZ, A , FINSTON, DR , JARADAT, I , (2014) PROPER TRIANGULAR G(A)-ACTIONS ON A(4) ARE TRANSLATIONS.ALGEBRA & NUMBER THEORY. VOL. 8. ISSUE 8. P. 1959 -1984 15 100% 0
8 BARKATOU, MA , HOUARI, H , KAHOUI, M , (2008) TRIANGULABLE LOCALLY NILPOTENT DERIVATIONS IN DIMENSION THREE.JOURNAL OF PURE AND APPLIED ALGEBRA. VOL. 212. ISSUE 9. P. 2129 -2139 18 95% 0
9 KURODA, S , (2016) WEIGHTED MULTIDEGREES OF POLYNOMIAL AUTOMORPHISMS OVER A DOMAIN.JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN. VOL. 68. ISSUE 1. P. 119 -149 14 100% 0
10 MIKHALEV, AA , UMIRBAEV, U , YU, JT , (2001) AUTOMORPHIC ORBITS IN FREE NON-ASSOCIATIVE ALGEBRAS.JOURNAL OF ALGEBRA. VOL. 243. ISSUE 1. P. 198 -223 20 100% 5

Classes with closest relation at Level 1


Rank Class id link
1 26204 FREE BURNSIDE GROUP//NORMAL AUTOMORPHISM//N PERIODIC PRODUCT
2 15691 STEIN SPACE//STEIN MANIFOLD//OKA MANIFOLD
3 18475 ZENTRUM MATH M11//MODULAR INVARIANT THEORY//SEPARATING INVARIANTS
4 5360 LOJASIEWICZ EXPONENT//MILNOR NUMBER//MOTIVIC INTEGRATION
5 16067 GREEN CURRENT//DYNAMICAL DEGREES//HENON MAPS
6 16033 SPHERICAL VARIETIES//COX RING//WONDERFUL VARIETIES
7 35025 VANISHING HESSIAN//SCORZA VARIETY//ACCOMMODATION AND RESISTANCE
8 22485 UNIMODULAR ROWS//EULER CLASS GROUPS//CONSTRUCTIVE ALGEBRA
9 34546 POLYNOMIAL KNOTS//CHEBYSHEV CURVES//LISSAJOUS KNOTS
10 19959 RESOLUTION OF SINGULARITIES//LOCAL UNIFORMIZATION//DESINGULARIZATION INVARIANT

Go to start page