Class information for: |
Basic class information |
Class id | #P | Avg. number of references |
Database coverage of references |
---|---|---|---|
1540 | 7449 | 16.4 | 32% |
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 |
5360 | 1 | LOJASIEWICZ EXPONENT//MILNOR NUMBER//MOTIVIC INTEGRATION | 1634 |
7469 | 1 | LEGENDRIAN SINGULARITIES//PRINCIPAL CURVATURE LINES//GRP MATH SCI | 1364 |
8212 | 1 | JACOBIAN CONJECTURE//POLYNOMIAL AUTOMORPHISMS//LOCALLY NILPOTENT DERIVATION | 1280 |
9563 | 1 | O MINIMALITY//O MINIMAL STRUCTURES//O MINIMAL | 1143 |
16040 | 1 | WITT EQUIVALENCE//SPECIAL GROUPS//REAL PLACES | 676 |
19778 | 1 | REAL ALGEBRAIC VARIETY//TRIQUADRIC//FEWNOMIALS | 490 |
19959 | 1 | RESOLUTION OF SINGULARITIES//LOCAL UNIFORMIZATION//DESINGULARIZATION INVARIANT | 482 |
22485 | 1 | UNIMODULAR ROWS//EULER CLASS GROUPS//CONSTRUCTIVE ALGEBRA | 380 |
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 | MATHEMATICS | WoSSC | 373450 | 95% | 1% | 7082 |
2 | JACOBIAN CONJECTURE | authKW | 228912 | 1% | 76% | 74 |
3 | O MINIMAL STRUCTURES | authKW | 203684 | 1% | 73% | 68 |
4 | O MINIMALITY | authKW | 196722 | 1% | 87% | 55 |
5 | POLYNOMIAL AUTOMORPHISMS | authKW | 110610 | 0% | 75% | 36 |
6 | RESOLUTION OF SINGULARITIES | authKW | 108568 | 1% | 51% | 52 |
7 | MOTIVIC INTEGRATION | authKW | 104413 | 0% | 88% | 29 |
8 | LOCALLY NILPOTENT DERIVATION | authKW | 98312 | 0% | 67% | 36 |
9 | O MINIMAL | authKW | 90768 | 0% | 92% | 24 |
10 | LOJASIEWICZ EXPONENT | authKW | 84281 | 0% | 86% | 24 |
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 | 373450 | 95% | 1% | 7082 |
2 | Logic | 49887 | 6% | 3% | 426 |
3 | Mathematics, Applied | 19378 | 21% | 0% | 1569 |
4 | Computer Science, Theory & Methods | 97 | 2% | 0% | 127 |
5 | Multidisciplinary Sciences | 11 | 0% | 0% | 36 |
6 | Philosophy | 4 | 0% | 0% | 27 |
7 | Physics, Mathematical | 2 | 1% | 0% | 66 |
8 | Computer Science, Cybernetics | -0 | 0% | 0% | 5 |
9 | Robotics | -2 | 0% | 0% | 3 |
10 | History of Social Sciences | -3 | 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 | MATH | 45447 | 30% | 1% | 2204 |
2 | PAINLEVE | 42474 | 0% | 45% | 23 |
3 | GRP MATH SCI | 32779 | 0% | 100% | 8 |
4 | WISKUNDE | 27621 | 1% | 15% | 46 |
5 | GEOMETRIA TOPOL | 26163 | 1% | 8% | 79 |
6 | MATEMAT | 24415 | 6% | 1% | 423 |
7 | EQUIPE GEOMETRIE DYNAM | 23819 | 0% | 36% | 16 |
8 | F CIENCIAS MATEMAT | 20487 | 0% | 100% | 5 |
9 | CIENCIAS MATEMAT COMP | 17791 | 1% | 10% | 43 |
10 | ALGEBRA GEOMETRY TOPOL | 16842 | 0% | 34% | 12 |
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 | 77134 | 4% | 6% | 332 |
2 | JOURNAL OF ALGEBRA | 48901 | 5% | 3% | 396 |
3 | JOURNAL OF SYMBOLIC LOGIC | 47088 | 2% | 6% | 183 |
4 | ANNALES DE L INSTITUT FOURIER | 34207 | 2% | 6% | 135 |
5 | PROCEEDINGS OF SYMPOSIA IN PURE MATHEMATICS | 33630 | 1% | 13% | 63 |
6 | MANUSCRIPTA MATHEMATICA | 28221 | 2% | 5% | 150 |
7 | COMMUNICATIONS IN ALGEBRA | 27434 | 3% | 3% | 256 |
8 | MATHEMATISCHE ZEITSCHRIFT | 24635 | 2% | 3% | 175 |
9 | MATHEMATISCHE ANNALEN | 24101 | 2% | 4% | 167 |
10 | COMPOSITIO MATHEMATICA | 22746 | 2% | 5% | 117 |
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 | 228912 | 1% | 76% | 74 | Search JACOBIAN+CONJECTURE | Search JACOBIAN+CONJECTURE |
2 | O MINIMAL STRUCTURES | 203684 | 1% | 73% | 68 | Search O+MINIMAL+STRUCTURES | Search O+MINIMAL+STRUCTURES |
3 | O MINIMALITY | 196722 | 1% | 87% | 55 | Search O+MINIMALITY | Search O+MINIMALITY |
4 | POLYNOMIAL AUTOMORPHISMS | 110610 | 0% | 75% | 36 | Search POLYNOMIAL+AUTOMORPHISMS | Search POLYNOMIAL+AUTOMORPHISMS |
5 | RESOLUTION OF SINGULARITIES | 108568 | 1% | 51% | 52 | Search RESOLUTION+OF+SINGULARITIES | Search RESOLUTION+OF+SINGULARITIES |
6 | MOTIVIC INTEGRATION | 104413 | 0% | 88% | 29 | Search MOTIVIC+INTEGRATION | Search MOTIVIC+INTEGRATION |
7 | LOCALLY NILPOTENT DERIVATION | 98312 | 0% | 67% | 36 | Search LOCALLY+NILPOTENT+DERIVATION | Search LOCALLY+NILPOTENT+DERIVATION |
8 | O MINIMAL | 90768 | 0% | 92% | 24 | Search O+MINIMAL | Search O+MINIMAL |
9 | LOJASIEWICZ EXPONENT | 84281 | 0% | 86% | 24 | Search LOJASIEWICZ+EXPONENT | Search LOJASIEWICZ+EXPONENT |
10 | MILNOR NUMBER | 82957 | 0% | 75% | 27 | Search MILNOR+NUMBER | Search MILNOR+NUMBER |
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. - | 44 | 94% | 1 |
2 | KUCHARZ, W , (2011) ALGEBRAICITY OF CYCLES ON SMOOTH MANIFOLDS.SELECTA MATHEMATICA-NEW SERIES. VOL. 17. ISSUE 4. P. 855-878 | 41 | 100% | 0 |
3 | MEUSER, D , (2016) A SURVEY OF IGUSA'S LOCAL ZETA FUNCTION.AMERICAN JOURNAL OF MATHEMATICS. VOL. 138. ISSUE 1. P. 149 -179 | 41 | 75% | 0 |
4 | ELEFTHERIOU, PE , (2013) NON-STANDARD LATTICES AND O-MINIMAL GROUPS.BULLETIN OF SYMBOLIC LOGIC. VOL. 19. ISSUE 1. P. 56-76 | 32 | 100% | 0 |
5 | SUWA, T , BRASSELET, JP , SEADE, J , (2009) THE CASE OF MANIFOLDS.VECTOR FIELDS ON SINGULAR VARIETIES. VOL. 1987. ISSUE . P. 1 -+ | 46 | 77% | 0 |
6 | BORIES, B , VEYS, W , (2016) IGUSA'S P-ADIC LOCAL ZETA FUNCTION AND THE MONODROMY CONJECTURE FOR NON-DEGENERATE SURFACE SINGULARITIES.MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 242. ISSUE 1145. P. 1 -+ | 28 | 97% | 0 |
7 | SCHEIDERER, C , (1992) REAL ALGEBRA AND ITS APPLICATIONS TO GEOMETRY IN THE LAST 10 YEARS - SOME MAJOR DEVELOPMENTS AND RESULTS.LECTURE NOTES IN MATHEMATICS. VOL. 1524. ISSUE . P. 75 -96 | 63 | 84% | 0 |
8 | CAMPESATO, JB , (2016) AN INVERSE MAPPING THEOREM FOR BLOW-NASH MAPS ON SINGULAR SPACES.NAGOYA MATHEMATICAL JOURNAL. VOL. 223. ISSUE 1. P. 162 -194 | 25 | 96% | 0 |
9 | CLUCKERS, R , LIPSHITZ, L , (2011) FIELDS WITH ANALYTIC STRUCTURE.JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY. VOL. 13. ISSUE 4. P. 1147 -1223 | 27 | 93% | 15 |
10 | DOLICH, A , MILLER, C , STEINHORN, C , (2010) STRUCTURES HAVING O-MINIMAL OPEN CORE.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 362. ISSUE 3. P. 1371-1411 | 27 | 96% | 13 |
Classes with closest relation at Level 2 |