241. Zhang, Xian; Sze, Nung-Sing: Additive rank-one preservers between spaces of rectangular matrices. (English). - [J] Linear Multilinear Algebra 53, No. 6, 417-425 (2005). [ISSN 0308-1087; ISSN 1563-5139]Bojan Kuzma, 2006, recenzija, prikaz knjige, kritika Ključne besede: matematika, linearna algebra, prostor matrik, rank 1, aditivni ohranjevalec Objavljeno v RUP: 15.10.2013; Ogledov: 3637; Prenosov: 45 Povezava na celotno besedilo |
242. |
243. Fosner, Ajda; Šemrl, Peter: Additive maps on matrix algebras preserving invertibility. (English). - [J] Acta Math. Sin., Engl. Ser. 21, No. 4, 681-684 (2005). [ISSN 1439-8516; ISSN 1439-7617]Bojan Kuzma, 2006, recenzija, prikaz knjige, kritika Ključne besede: matematika, linearna algebra, aditivna preslikava, ohranjevalec obrnljivosti, ohranjevalec singularnosti, matrična algebra Objavljeno v RUP: 15.10.2013; Ogledov: 3834; Prenosov: 40 Povezava na celotno besedilo |
244. |
245. Rank-permutable additive mappingsAnna A. Alieva, Aleksandr Èmilevič Guterman, Bojan Kuzma, 2006, izvirni znanstveni članek Opis: Let ▫$\sigma$▫ be a fixed non-identical permutation on ▫$k$▫ elements. Additive bijections ▫$T$▫ on the matrix algebra ▫$M_n(\mathbb{F})$▫ over a field ▫$\mathbb{F}$▫ of characteristic zero, with the property that ▫$\rm{rk} (A_1...A_k) = \rm{rk} (A_{\sigma(1)}...A_{\sigma(k)})$▫ implies the same condition on the ▫$T$▫ images, are characterized. It is also shown that the surjectivity assumption can be relaxed, if this property is preserved in both directions. Ključne besede: mathematics, linearna algebra, matrix algebra, rank, permutation, additive preservers Objavljeno v RUP: 15.10.2013; Ogledov: 3630; Prenosov: 89 Povezava na celotno besedilo |
246. |
247. Chebotar, Mikhail A.; Fong, Yuen; Lee, Pjek-Hwee: On maps preserving zeros of the polynomial $xy - yx^ast$. (English). - [J] Linear Algebra Appl. 408, 230-243(2005). [ISSN 0024-3795]Bojan Kuzma, 2006, recenzija, prikaz knjige, kritika Ključne besede: matematika, linearna algebra, linearni ohranjevalci, funkcijske identitete, matrična algebra Objavljeno v RUP: 15.10.2013; Ogledov: 3751; Prenosov: 26 Povezava na celotno besedilo |
248. |
249. |
250. |