1. On generalized Jordan triple ([alpha], [beta]) [sup] [ast]derivations and related mappingsShakir Ali, Ajda Fošner, Maja Fošner, Mohammad Salahuddin Khan, 2013, original scientific article Abstract: Let ▫$R$▫ be a 2torsion free semiprime ▫$\ast$▫ring and let ▫$\alpha, \beta$▫ be surjective endomorphisms of ▫$R$▫. The aim of the paper is to show that every generalized Jordan triple ▫$(\alpha, \beta)^\ast$▫derivation on ▫$R$▫ is a generalized Jordan ▫$(\alpha, \beta)^\ast$▫derivation. This result makes it possible to prove that every generalized Jordan triple ▫$(\alpha, \beta)^\ast$▫derivation on a semisimple ▫$H^\ast$▫algebra is a generalized Jordan ▫$(\alpha, \beta)^\ast$▫derivation. Finally, we prove that every Jordan triple left ▫$\alpha^\ast$▫centralizer on a 2torsion free semiprime ring is a Jordan left ▫$\alpha^\ast$▫centralizer. Found in: ključnih besedah Summary of found: ...we prove that every Jordan triple left ▫$\alpha^\ast$▫centralizer on a 2torsion free semiprime ring is... Keywords: mathematics, algebra, semiprime ▫$\ast$▫ring, ▫$H^\ast$▫algebra, Jordan triple ▫$(\alpha, \beta)^\ast$▫derivation, generalized Jordan triple ▫$(\alpha, \beta)^\ast$▫derivation, Jordan triple left ▫$\alpha^\ast$▫centralizer Published: 15.10.2013; Views: 1688; Downloads: 28 Full text (0,00 KB) 
2. A note on generalized (m,n)Jordan centralizersAjda Fošner, 2013, original scientific article Abstract: The aim of this paper is to define generalized ▫$(m, n)$▫Jordan centralizers and to prove that on a prime ring with nonzero center and ▫${\rm char}(R) \ne 6mn(m+n)(m+2n)$▫ every generalized ▫$(m, n)$▫Jordan centralizer is a twosided centralizer. Found in: ključnih besedah Summary of found: ...paper is to define generalized ▫$(m, n)$▫Jordan centralizers and to prove that on a prime... Keywords: mathematics, prime ring, semiprime ring, left (right) centralizer, left (right) Jordan centralizer, (m, n)Jordan centralizer, generalized (m, n)Jordan centralizer Published: 15.10.2013; Views: 1604; Downloads: 89 Full text (0,00 KB) This document has more files! More...

3. On maximal distances in a commuting graphBojan Kuzma, Polona Oblak, Gregor Dolinar, 2012, original scientific article Abstract: It is shown that matrices over algebraically closed fields that are farthest apart in the commuting graph must be nonderogatory. Rankone matrices and diagonalizable matrices are also characterized in terms of the commuting graph. Found in: ključnih besedah Summary of found: ...commuting graph, matrix algebra, algebraically closed field, centralizer, distance in graphs, ... Keywords: matematika, linearna algebra, teorija grafov, komutirajoči grafi, matrična algebra, algebraično zaprt obseg, centralizator, razdalja v grafih, mathematics, linear algebra, graph theory, commuting graph, matrix algebra, algebraically closed field, centralizer, distance in graphs Published: 03.04.2017; Views: 855; Downloads: 129 Full text (0,00 KB) This document has more files! More...
