Preservers of the left-star and right-star partial orders

Autor:	Gregor Dolinar, Sait Halicioglu, Abdullah Harmanci, Janko Marovt, Bojan Kuzma, Burcu Ungor
Rok vydání:	2020
Předmět:	Surjective function Combinatorics Numerical Analysis Algebra and Number Theory Astrophysics::Solar and Stellar Astrophysics Discrete Mathematics and Combinatorics Order (group theory) Field (mathematics) Geometry and Topology Star (graph theory) Astrophysics::Galaxy Astrophysics Mathematics
Zdroj:	Linear Algebra and its Applications. 587:70-91
ISSN:	0024-3795
DOI:	10.1016/j.laa.2019.11.003
Popis:	Let M n ( F ) be the set of all n × n matrices over the field F , where F = R or F = C . We characterize maps on M n ( F ) which are surjective and preserve either the left-star or the right-star order in both directions, but are not necessarily additive.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4124a885fa4b2625d1f5cb4e0b2427a9 https://doi.org/10.1016/j.laa.2019.11.003 Zobrazit plný text záznamu Full Text from ScienceDirect