Class information for: |
Basic class information |
| Class id | #P | Avg. number of references |
Database coverage of references |
|---|---|---|---|
| 28000 | 216 | 11.5 | 28% |
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 |
| 1267 | 2 | COMMUNICATIONS IN ALGEBRA//MATHEMATICS//PRUFER DOMAIN | 8782 |
| 28000 | 1 | FIRM MODULES//MORITA LIKE EQUIVALENCE//INFINITE MATRIX RINGS | 216 |
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 | FIRM MODULES | authKW | 565470 | 2% | 100% | 4 |
| 2 | MORITA LIKE EQUIVALENCE | authKW | 565470 | 2% | 100% | 4 |
| 3 | INFINITE MATRIX RINGS | authKW | 282735 | 1% | 100% | 2 |
| 4 | MACAEV IDEAL | authKW | 282735 | 1% | 100% | 2 |
| 5 | NONUNITAL RINGS | authKW | 254459 | 1% | 60% | 3 |
| 6 | CONJUGATE SPACE | authKW | 188489 | 1% | 67% | 2 |
| 7 | ALMOST FINITE DIMENSIONAL REPRESENTABILITY | authKW | 141368 | 0% | 100% | 1 |
| 8 | BANDWIDTH DIMENSION | authKW | 141368 | 0% | 100% | 1 |
| 9 | BANDWIDTH GROWTH | authKW | 141368 | 0% | 100% | 1 |
| 10 | COHERENT FUNCTORS | authKW | 141368 | 0% | 100% | 1 |
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 | 9643 | 90% | 0% | 194 |
| 2 | Mathematics, Applied | 523 | 20% | 0% | 44 |
| 3 | Multidisciplinary Sciences | 68 | 3% | 0% | 7 |
| 4 | Statistics & Probability | 18 | 3% | 0% | 6 |
| 5 | Physics, Mathematical | 1 | 1% | 0% | 3 |
| 6 | Computer Science, Hardware & Architecture | 0 | 0% | 0% | 1 |
| 7 | Mechanics | 0 | 1% | 0% | 3 |
| 8 | Computer Science, Theory & Methods | 0 | 1% | 0% | 2 |
| 9 | Computer Science, Information Systems | -0 | 0% | 0% | 1 |
| 10 | Telecommunications | -0 | 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 | GEN EDUC 1 | 70683 | 0% | 50% | 1 |
| 2 | GRP NFAM2 | 15706 | 0% | 11% | 1 |
| 3 | GEOMETRY PHYS | 12289 | 1% | 4% | 2 |
| 4 | CHAIR ALGEBRA | 7066 | 0% | 5% | 1 |
| 5 | JEWISH THOUGHT | 5888 | 0% | 4% | 1 |
| 6 | HBEREICH MATH 17 | 2242 | 0% | 2% | 1 |
| 7 | MATH | 1037 | 26% | 0% | 57 |
| 8 | DIPARTIMENTO MATEMAT PURA PLICATA | 848 | 1% | 0% | 3 |
| 9 | RENYI MATH | 810 | 0% | 1% | 1 |
| 10 | MATEMAT | 467 | 5% | 0% | 10 |
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 | COMMUNICATIONS IN ALGEBRA | 17943 | 16% | 0% | 35 |
| 2 | JOURNAL OF ALGEBRA | 8511 | 13% | 0% | 28 |
| 3 | SCIENTIA SINICA SERIES A-MATHEMATICAL PHYSICAL ASTRONOMICAL & TECHNICAL SCIENCES | 3565 | 2% | 1% | 4 |
| 4 | JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS | 2889 | 2% | 0% | 5 |
| 5 | JOURNAL OF HOMOTOPY AND RELATED STRUCTURES | 2626 | 1% | 1% | 2 |
| 6 | JOURNAL OF FUNCTIONAL ANALYSIS | 2166 | 5% | 0% | 10 |
| 7 | ALGEBRA COLLOQUIUM | 1939 | 2% | 0% | 4 |
| 8 | LINEAR & MULTILINEAR ALGEBRA | 1711 | 2% | 0% | 4 |
| 9 | JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 1685 | 2% | 0% | 4 |
| 10 | PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1411 | 6% | 0% | 13 |
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 | FIRM MODULES | 565470 | 2% | 100% | 4 | Search FIRM+MODULES | Search FIRM+MODULES |
| 2 | MORITA LIKE EQUIVALENCE | 565470 | 2% | 100% | 4 | Search MORITA+LIKE+EQUIVALENCE | Search MORITA+LIKE+EQUIVALENCE |
| 3 | INFINITE MATRIX RINGS | 282735 | 1% | 100% | 2 | Search INFINITE+MATRIX+RINGS | Search INFINITE+MATRIX+RINGS |
| 4 | MACAEV IDEAL | 282735 | 1% | 100% | 2 | Search MACAEV+IDEAL | Search MACAEV+IDEAL |
| 5 | NONUNITAL RINGS | 254459 | 1% | 60% | 3 | Search NONUNITAL+RINGS | Search NONUNITAL+RINGS |
| 6 | CONJUGATE SPACE | 188489 | 1% | 67% | 2 | Search CONJUGATE+SPACE | Search CONJUGATE+SPACE |
| 7 | ALMOST FINITE DIMENSIONAL REPRESENTABILITY | 141368 | 0% | 100% | 1 | Search ALMOST+FINITE+DIMENSIONAL+REPRESENTABILITY | Search ALMOST+FINITE+DIMENSIONAL+REPRESENTABILITY |
| 8 | BANDWIDTH DIMENSION | 141368 | 0% | 100% | 1 | Search BANDWIDTH+DIMENSION | Search BANDWIDTH+DIMENSION |
| 9 | BANDWIDTH GROWTH | 141368 | 0% | 100% | 1 | Search BANDWIDTH+GROWTH | Search BANDWIDTH+GROWTH |
| 10 | COHERENT FUNCTORS | 141368 | 0% | 100% | 1 | Search COHERENT+FUNCTORS | Search COHERENT+FUNCTORS |
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 | XU, YH , SHUM, KP , (2004) NEW DIRECT PRODUCT RINGS, THEIR STRUCTURES AND APPLICATIONS.ALGEBRA COLLOQUIUM. VOL. 11. ISSUE 4. P. 493-514 | 12 | 100% | 0 |
| 2 | XIA, JB , (2008) A CONDITION FOR DIAGONALIZATION MODULO ARBITRARY NORM IDEALS.JOURNAL OF FUNCTIONAL ANALYSIS. VOL. 255. ISSUE 5. P. 1039 -1056 | 9 | 100% | 0 |
| 3 | GARCIA, JL , MARIN, L , (2012) BASIC MODULE THEORY FOR GENERAL RINGS.COMMUNICATIONS IN ALGEBRA. VOL. 40. ISSUE 1. P. 291-314 | 7 | 100% | 0 |
| 4 | XIA, JB , (2006) DIAGONALIZATION MODULO A CLASS OF ORLICZ IDEALS.JOURNAL OF FUNCTIONAL ANALYSIS. VOL. 239. ISSUE 1. P. 268-296 | 8 | 89% | 0 |
| 5 | SIMON, JJ , (1998) FINITELY GENERATED PROJECTIVE MODULES OVER ROW AND COLUMN FINITE MATRIX RINGS.JOURNAL OF ALGEBRA. VOL. 208. ISSUE 1. P. 165-184 | 8 | 100% | 2 |
| 6 | XIA, JB , (2005) SINGULAR INTEGRAL OPERATORS AND NORM IDEALS SATISFYING A QUANTITATIVE VARIANT OF KURODA'S CONDITION.JOURNAL OF FUNCTIONAL ANALYSIS. VOL. 228. ISSUE 2. P. 369-393 | 7 | 88% | 3 |
| 7 | CECCHERINI-SILBERSTEIN, TG , SAMET-VAILLANT, AY , (2008) GROMOV'S TRANSLATION ALGEBRAS, GROWTH AND AMENABILITY OF OPERATOR ALGEBRAS.EXPOSITIONES MATHEMATICAE. VOL. 26. ISSUE 2. P. 141-162 | 9 | 60% | 3 |
| 8 | NIELSEN, PP , (2007) ROW AND COLUMN FINITE MATRICES.PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 135. ISSUE 9. P. 2689 -2697 | 6 | 86% | 1 |
| 9 | ROWEN, L , SMALL, L , (2015) REPRESENTABILITY OF ALGEBRAS FINITE OVER THEIR CENTERS.JOURNAL OF ALGEBRA. VOL. 442. ISSUE . P. 506 -524 | 4 | 100% | 0 |
| 10 | GARCIA, JL , MARIN, L , (1999) RINGS HAVING A MORITA-LIKE EQUIVALENCE.COMMUNICATIONS IN ALGEBRA. VOL. 27. ISSUE 2. P. 665-680 | 6 | 100% | 6 |
Classes with closest relation at Level 1 |