From lattices to Hv-matrices-Reference-Cited by-同舟云学术

From lattices to Hv-matrices

Published:2016-11-01 Issue:3 Volume:24 Page:209-222
ISSN:1844-0835
Container-title:Analele Universitatii "Ovidius" Constanta - Seria Matematica
language:en
Short-container-title:

Author:

Křehlík Štěpán¹,Novák Michal¹

Affiliation:

1. Department of Mathematics, Faculty of Electrical Engineering and Communication, Brno University of Technology, Technická 8, 616 00 Brno , Czech Republic

Abstract

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 Hv-rings and Hv-matrices and also one recent construction of hyperstructures.

Publisher

Walter de Gruyter GmbH

Reference28 articles.

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