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KŘEHLÍK, Š. NOVÁK, M.
Original Title
From lattices to H_v -matrices
Type
journal article in Web of Science
Language
English
Original Abstract
In this paper we study the concept of sets of elements, related to results of an associative binary operation. We discuss this issue in the context of matrices and lattices. First of all, we define hyperoperations similar to those used when constructing hyperstructures from quasi-ordered semigroups. This then enables us to show that if entries of matrices are elements of lattices, these considerations provide a natural link between matrices, some basic concepts of the hyperstructure theory including $H_v$--rings and $H_v$--matrices and also one recent construction of hyperstructures.
Keywords
Distributive lattice, $H_v$--matrix, $H_v$--ring, Join space, Partially ordered semigroup
Authors
KŘEHLÍK, Š.; NOVÁK, M.
Released
9. 12. 2016
ISBN
1224-1784
Periodical
Analele Stiintifice Ale Universitatii Ovidius Constanta, Seria Matematica
Year of study
XXIV
Number
3
State
Romania
Pages from
209
Pages to
222
Pages count
14
URL
http://www.anstuocmath.ro/mathematics//Anale2016Vvol3/10_Krehlik_S.__Novak_M..pdf
BibTex
@article{BUT116986, author="Štěpán {Křehlík} and Michal {Novák}", title="From lattices to H_v -matrices", journal="Analele Stiintifice Ale Universitatii Ovidius Constanta, Seria Matematica", year="2016", volume="XXIV", number="3", pages="209--222", doi="10.1515/auom-2016-0055", issn="1224-1784", url="http://www.anstuocmath.ro/mathematics//Anale2016Vvol3/10_Krehlik_S.__Novak_M..pdf" }