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2. General preservers of quasi-commutativity on hermitian matricesBojan Kuzma, Gregor Dolinar, 2008, izvirni znanstveni članek Opis: Let ▫$H_n$▫ be the set of all ▫$n \times n$▫ hermitian matrices over ▫$\mathbb{C}$▫, ▫$n \ge 3$▫. It is said that ▫$A,B \in H_n$▫ quasi-commute if there exists a nonzero ▫$\xi \in \mathbb{C}$▫ such that ▫$AB = \xi BA$▫ Bijective not necessarily linear maps on hermitian matrices which preserve quasi-commutativity in both directions are classified.
Najdeno v: ključnih besedah
Ključne besede: mathematics, linear algebra, general preserver, hermitian matrices, quasi-commutativity
Objavljeno: 03.04.2017; Ogledov: 683; Prenosov: 101
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3. Additive rank-one nonincreasing maps on Hermitian matrices over the field GF(2[sup]2)Marko Orel, Bojan Kuzma, 2009, izvirni znanstveni članek Opis: A complete classification of additive rank-one nonincreasing maps on hermitian matrices over Galois field ▫$GF(2^2)$▫ is obtained. This field is special and was not covered in a previous paper. As a consequence, some known applications, like the classification of additive rank-additivity preserving maps, are extended to arbitrary fields. An application concerning the preservers of hermitian varieties is also presented.
Najdeno v: ključnih besedah
Ključne besede: mathematics, linear algebra, additive preserver, hermitian matrices, rank, Galois field, weak homomorphism of a graph
Objavljeno: 03.04.2017; Ogledov: 769; Prenosov: 27
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6. O ekstremnih grafih z dano stopnjo in premerom/ožinoSlobodan Filipovski, 2018, doktorska disertacija Najdeno v: ključnih besedah
Povzetek najdenega: ...problem, spectrum, Moore graphs, asymptotic density, distance matrices, Bermond and Bollobas problem...
Ključne besede: adjacency matrix, antipodal graphs, cages, excess, defect, Ramanujan graphs, selfrepeats, degree/diameter problem, spectrum, Moore graphs, asymptotic density, distance matrices, Bermond and Bollobas problem
Objavljeno: 21.01.2019; Ogledov: 452; Prenosov: 0 |
