51. Zhang, Xian; Cao, Chong-Guang: Linear $k$-power/$k$-potent preservers between matrix spaces. (English). - [J] Linear Algebra Appl. 412, No. 2-3, 373-379 (2006). [ISSN 0024-3795]Bojan Kuzma, 2006, review, book review, critique Keywords: matematika, linearna algebra, idempotentne matrike, jordanski homomorfizmi, tenzorski produkt, simetrične matrike, ohranjevalec ortogonalnosti
Published in RUP: 15.10.2013; Views: 4404; Downloads: 38
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52. Semrl, Peter: Maps on matrix spaces. (English). - [J] Linear Algebra Appl. 413, No. 2-3, 364-393 (2006). [ISSN 0024-3795]Bojan Kuzma, 2006, review, book review, critique Keywords: matematika, linearna algebra, matrične algebre, ohranjevalec, avtomorfizem
Published in RUP: 15.10.2013; Views: 2094; Downloads: 35
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53. Mednarodna konferenca o algebri in njeni uporabnostiAjda Fošner, 2010, other component parts Abstract: Namen prispevka je predstaviti mednarodno konferenco o algebri in njeni uporabnosti (The International Conference on Algebra and its Applications), ki je potekala od 20. februarja do 22. februarja 2010 v mestu Aligarh v Indiji. Konferenca je bila namenjena matematikom, ki raziskujejo na področju algebre - predstavili so svoje novejše rezultate, izmenjali ideje, postavili nova odprta vprašanja, reševali probleme in s tem prispevali k razvoju algebre ter z njo povezanih problemov.
Keywords: matematika, algebra, mednarodne konference
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55. On the generalized Hyers-Ulam stability of module left (m, n)-derivationsAjda Fošner, 2012, original scientific article Abstract: We study the generalized Hyers-Ulam stability of functional equations of module left ▫$(m, n)$▫-derivations.
Keywords: mathematics, algebra, generalized Hyers-Ulam stability, normed algebra, Banach left A-module, module left ▫$(m, n)$▫-derivation
Published in RUP: 15.10.2013; Views: 3517; Downloads: 131
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56. On [epsilon]-derivations and local [epsilon]-derivationsAjda Fošner, Maja Fošner, 2010, original scientific article Abstract: In this paper, we describe ▫$\epsilon$▫-derivations in certain graded algebras by their actions on elements satisfying some special conditions. One of the main results is applied to local ▫$\epsilon$▫-derivations on some certain graded algebras.
Keywords: mathematics, algebra, graded algebras, graded prime algebras, graded semiprime algebras, ▫$\epsilon$▫-derivations, local ▫$\epsilon$▫-derivations
Published in RUP: 15.10.2013; Views: 3230; Downloads: 78
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57. Jordan [tau]-derivations of locally matrix ringsChen-Lian Chuang, Ajda Fošner, Tsiu Kwen Lee, 2013, original scientific article Abstract: Let ▫$R$▫ be a prime, locally matrix ring of characteristic not 2 and let ▫$Q_{ms}(R)$▫ be the maximal symmetric ring of quotients of ▫$R$▫. Suppose that ▫$\delta \colon R \to Q_{ms}(R)$▫ is a Jordan ▫$\tau$▫-derivation, where ▫$\tau$▫ is an anti-automorphism of $R$. Then there exists ▫$a \in Q_{ms}(R)$▫ such that ▫$\delta(x) = xa - a\tau(x)$▫ for all ▫$x \in R$▫. Let ▫$X$▫ be a Banach space over the field ▫$\mathbb{F}$▫ of real or complex numbers and let ▫$\mathcal{B}(X)$▫ be the algebra of all bounded linear operators on ▫$X$▫. We prove that ▫$Q_{ms}(\mathcal{B}(X)) = \mathcal{B}(X)$▫, which provides the viewpoint of ring theory for some results concerning derivations on the algebra ▫$\mathcal{B}(X)$▫. In particular, all Jordan ▫$\tau$▫-derivations of ▫$\mathcal{B}(X)$▫ are inner if ▫$\dim_{\mathbb{F}} X>1$▫.
Keywords: mathematics, algebra, anti-automorphism, locally matrix ring, prime ring, Jordan homomorphism, Jordan ▫$\tau$▫-derivation, Banach space
Published in RUP: 15.10.2013; Views: 3770; Downloads: 83
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58. Song, Seok-Yun; Kang, Kyung-Tae; Jun, Young-Bae: Rank preserver of Boolean matrices. (English). - [J] Bull. Korean Math. Soc. 42, No. 3, 501-507 (2005). [ISSN 1015-8634]Bojan Kuzma, 2006, review, book review, critique Keywords: matematika, linearna algebra, linearni operatorji, Boolova matrika
Published in RUP: 15.10.2013; Views: 2524; Downloads: 22
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59. Song, Seok-Zun; Kang, Kyung-Tae; Jun, Young-Bae: Rank-preserving operators of nonnegative integer matrices. (English). - [J] Commun. Korean Math. Soc. 20, No. 4, 671-683 (2005). [ISSN 1225-1763]Bojan Kuzma, 2006, review, book review, critique Keywords: matematika, linearna algebra, ohranjevalec ranga
Published in RUP: 15.10.2013; Views: 2684; Downloads: 32
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60. 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 2-torsion 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 2-torsion free semiprime ring is a Jordan left ▫$\alpha^\ast$▫-centralizer.
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 in RUP: 15.10.2013; Views: 4408; Downloads: 77
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