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1.
General preservers of quasi-commutativity on hermitian matrices
Bojan 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
URL Polno besedilo (0,00 KB)
Gradivo ima več datotek! Več...

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
URL Polno besedilo (0,00 KB)
Gradivo ima več datotek! Več...

3.
On generalizations of the Petersen graph and the Coxeter graph
Marko 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
URL Polno besedilo (0,00 KB)

4.
On the spectrum of sizes of semiovals contained in the Hermitian curve
Daniele Bartoli, György Kiss, Stefano Marcugini, Fernanda Pambianco, 2016, izvirni znanstveni članek

Najdeno v: ključnih besedah
Povzetek najdenega: Zadetek v naslovu
Ključne besede: Hermitian curve, semiovals, spectrum of sizes
Objavljeno: 08.08.2016; Ogledov: 928; Prenosov: 81
URL Polno besedilo (0,00 KB)

5.
Inherited unitals in Moulton planes
Gábor 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
URL Polno besedilo (0,00 KB)

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