Class information for:
Level 1: PRIME RING//DERIVATION//GENERALIZED DERIVATION

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
6348 1496 15.4 44%



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
249 3       MATHEMATICS//JOURNAL OF OPERATOR THEORY//MATH 46542
2881 2             PRIME RING//DERIVATION//GENERALIZED DERIVATION 2849
6348 1                   PRIME RING//DERIVATION//GENERALIZED DERIVATION 1496

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 PRIME RING authKW 5709007 21% 90% 312
2 DERIVATION authKW 2083834 21% 32% 321
3 GENERALIZED DERIVATION authKW 1989047 9% 72% 135
4 SEMIPRIME RING authKW 1763930 7% 79% 110
5 DIFFERENTIAL IDENTITIES authKW 1157214 4% 90% 63
6 JORDAN DERIVATION authKW 1132913 5% 76% 73
7 FUNCTIONAL IDENTITY authKW 987848 4% 77% 63
8 TRIANGULAR ALGEBRA authKW 783711 3% 80% 48
9 EXTENDED CENTROID authKW 705572 3% 79% 44
10 NEST ALGEBRA authKW 594288 4% 47% 62

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 79880 98% 0% 1467
2 Mathematics, Applied 7878 29% 0% 439
3 Statistics & Probability 21 1% 0% 22
4 Multidisciplinary Sciences 0 0% 0% 5
5 Computer Science, Cybernetics -0 0% 0% 1
6 Ergonomics -0 0% 0% 1
7 Materials Science, Paper & Wood -1 0% 0% 1
8 Anthropology -2 0% 0% 1
9 Computer Science, Information Systems -3 0% 0% 4
10 Physics, Mathematical -3 0% 0% 5

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 FNM 238361 2% 40% 29
2 DISIA 182905 1% 41% 22
3 DI SIA 108846 1% 67% 8
4 PEF 84394 1% 19% 22
5 INVEST INFORMAT MATEMAT ESTADIST 45920 0% 75% 3
6 DIPARTAMENTO MATEMAT E DE GIORGI 40819 0% 100% 2
7 MATH 31863 54% 0% 810
8 PF 27779 1% 17% 8
9 ALGEBRA PLICAT GRP 20410 0% 100% 1
10 BIALYSTOK AKAD 2 20410 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 LINEAR & MULTILINEAR ALGEBRA 131096 6% 7% 92
2 COMMUNICATIONS IN ALGEBRA 89685 14% 2% 206
3 LINEAR ALGEBRA AND ITS APPLICATIONS 43689 10% 1% 157
4 ALGEBRA COLLOQUIUM 23974 2% 3% 37
5 JOURNAL OF ALGEBRA 14050 6% 1% 95
6 PUBLICATIONES MATHEMATICAE-DEBRECEN 13627 2% 2% 36
7 TAIWANESE JOURNAL OF MATHEMATICS 12941 2% 2% 33
8 OPERATORS AND MATRICES 12437 1% 4% 17
9 AEQUATIONES MATHEMATICAE 10854 1% 3% 16
10 BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY 9563 1% 3% 18

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 PRIME RING 5709007 21% 90% 312 Search PRIME+RING Search PRIME+RING
2 DERIVATION 2083834 21% 32% 321 Search DERIVATION Search DERIVATION
3 GENERALIZED DERIVATION 1989047 9% 72% 135 Search GENERALIZED+DERIVATION Search GENERALIZED+DERIVATION
4 SEMIPRIME RING 1763930 7% 79% 110 Search SEMIPRIME+RING Search SEMIPRIME+RING
5 DIFFERENTIAL IDENTITIES 1157214 4% 90% 63 Search DIFFERENTIAL+IDENTITIES Search DIFFERENTIAL+IDENTITIES
6 JORDAN DERIVATION 1132913 5% 76% 73 Search JORDAN+DERIVATION Search JORDAN+DERIVATION
7 FUNCTIONAL IDENTITY 987848 4% 77% 63 Search FUNCTIONAL+IDENTITY Search FUNCTIONAL+IDENTITY
8 TRIANGULAR ALGEBRA 783711 3% 80% 48 Search TRIANGULAR+ALGEBRA Search TRIANGULAR+ALGEBRA
9 EXTENDED CENTROID 705572 3% 79% 44 Search EXTENDED+CENTROID Search EXTENDED+CENTROID
10 NEST ALGEBRA 594288 4% 47% 62 Search NEST+ALGEBRA Search NEST+ALGEBRA

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 BRESAR, M , (2004) COMMUTING MAPS: A SURVEY.TAIWANESE JOURNAL OF MATHEMATICS. VOL. 8. ISSUE 3. P. 361-397 93 90% 48
2 LIANG, XF , WEI, F , XIAO, ZK , FOSNER, A , (2015) CENTRALIZING TRACES AND LIE TRIPLE ISOMORPHISMS ON GENERALIZED MATRIX ALGEBRAS.LINEAR & MULTILINEAR ALGEBRA. VOL. 63. ISSUE 9. P. 1786 -1816 49 91% 1
3 XIAO, ZK , WEI, F , (2014) COMMUTING TRACES AND LIE ISOMORPHISMS ON GENERALIZED MATRIX ALGEBRAS.OPERATORS AND MATRICES. VOL. 8. ISSUE 3. P. 821 -847 36 97% 0
4 LIU, CK , (2012) STRONG COMMUTATIVITY PRESERVING GENERALIZED DERIVATIONS ON RIGHT IDEALS.MONATSHEFTE FUR MATHEMATIK. VOL. 166. ISSUE 3-4. P. 453-465 34 100% 6
5 LIU, CK , LIAU, PK , (2011) STRONG COMMUTATIVITY PRESERVING GENERALIZED DERIVATIONS ON LIE IDEALS.LINEAR & MULTILINEAR ALGEBRA. VOL. 59. ISSUE 8. P. 905-915 34 100% 6
6 BEIDAR, KI , MIKHALEV, AV , CHEBOTAR', MA , (2004) FUNCTIONAL IDENTITIES IN RINGS AND THEIR APPLICATIONS.RUSSIAN MATHEMATICAL SURVEYS. VOL. 59. ISSUE 3. P. 403-428 50 81% 13
7 LIAU, PK , LIU, CK , (2011) GENERALIZED LIE DERIVATIONS ON SKEW ELEMENTS OF PRIME ALGEBRAS WITH INVOLUTION.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 435. ISSUE 1. P. 67 -76 32 94% 0
8 LIU, CK , (2013) ON SKEW DERIVATIONS IN SEMIPRIME RINGS.ALGEBRAS AND REPRESENTATION THEORY. VOL. 16. ISSUE 6. P. 1561-1576 29 97% 3
9 XIAO, ZK , WEI, F , FOSNER, A , (2015) CENTRALIZING TRACES AND LIE TRIPLE ISOMORPHISMS ON TRIANGULAR ALGEBRAS.LINEAR & MULTILINEAR ALGEBRA. VOL. 63. ISSUE 7. P. 1309 -1331 27 93% 3
10 LIU, CK , (2014) MAPS CHARACTERIZED BY LIE PRODUCTS ON NEST ALGEBRAS.HOUSTON JOURNAL OF MATHEMATICS. VOL. 40. ISSUE 3. P. 767 -777 29 94% 0

Classes with closest relation at Level 1



Rank Class id link
1 8827 PRESERVERS//LINEAR PRESERVER//ADDITIVE PRESERVER
2 14511 SEMICROSSED PRODUCT//SEPARATING VECTOR//NEST ALGEBRA
3 20713 ALGEBRA GEOMETRIA TOPOL//INNER IDEAL//SEMIPRIME ALGEBRA
4 26148 ORTHOGONALITY PRESERVING MAPPINGS//DUNKL WILLIAMS INEQUALITY//APPROXIMATE ORTHOGONALITY
5 26285 QUASI PERMUTATION REPRESENTATIONS//LOCAL MULTIPLIER ALGEBRA//RINGS OF QUOTIENTS
6 11993 LEIBNIZ ALGEBRA//NATURAL GRADATION//LIE ALGEBRA
7 16014 NEAR RING//MATRIX NEAR RING//FILIAL RING
8 35122 ALPHA CONCAVITY//ALGEBRA OF CONTINUOUS VECTOR VALUED FUNCTIONS//ANTI HOMOMORPHISMS
9 18116 BANACH STONE THEOREM//DISJOINTNESS PRESERVING OPERATOR//F ALGEBRA
10 8421 EXCHANGE RING//CLEAN RING//ARMENDARIZ RING

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