1. 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
Povzetek najdenega: Zadetek v naslovu
Ključne besede: mathematics, linear algebra, general preserver, hermitian matrices, quasi-commutativity
Objavljeno: 03.04.2017; Ogledov: 692; Prenosov: 103
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2. 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
Povzetek najdenega: Zadetek v naslovu
Ključne besede: mathematics, linear algebra, additive preserver, hermitian matrices, rank, Galois field, weak homomorphism of a graph
Objavljeno: 03.04.2017; Ogledov: 778; Prenosov: 27
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3. On generalizations of the Petersen graph and the Coxeter graphMarko Orel, 2015, izvirni znanstveni članek Najdeno v: ključnih besedah
Povzetek najdenega: ...matrike, simetrične matrike, Coexter graph, Petersen graph, Hermitian matrix, symmetric matrix, ...
Ključne besede: Petersenov graf, Coexerjev graf, hermitske matrike, simetrične matrike, Coexter graph, Petersen graph, Hermitian matrix, symmetric matrix
Objavljeno: 03.04.2017; Ogledov: 679; Prenosov: 28
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5. Inherited unitals in Moulton planesGábor Korchmáros, Angelo Sonnino, Tamás Szönyi, 2018, izvirni znanstveni članek Opis: We prove that every Moulton plane of odd order-by duality every generalised André plane-contains a unital. We conjecture that such unitals are non-classical, that is, they are not isomorphic, as designs, to the Hermitian unital. We prove our conjecture for Moulton planes which differ from PG(2, q2) by a relatively small number of point-line incidences. Up to duality, our results extend previous analogous results-due to Barwick and Grünin-concerning inherited unitals in Hall planes.
Najdeno v: ključnih besedah
Povzetek najdenega: ...are not isomorphic, as designs, to the Hermitian unital. We prove our conjecture for Moulton...
Ključne besede: Unital, Moulton plane, Hermitian
Objavljeno: 19.12.2018; Ogledov: 332; Prenosov: 81
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