Operators and Spaces Associated to Matrices with Grades and Their Decompositions II

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F10%3A10216446" target="_blank" >RIV/61989592:15310/10:10216446 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Operators and Spaces Associated to Matrices with Grades and Their Decompositions II
Original language description
The paper is a continuation of our previous paper on operators and spaces associated to matrices whose degrees are elements from a residuated lattice. The motivation for this study is to develop a calculus for such matrices which can be used in situations such as matrix decompositions. In this paper, we focus on row and column spaces, left and right ideals of matrices, and Green's relations. We prove basic results concerning these notions, show links to known structures, and put a new perspective on results known from Boolean matrices and their generalizations.
Czech name
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Czech description
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Project
<a href="/en/project/GAP202%2F10%2F0262" target="_blank" >GAP202/10/0262: Decompositions of matrices with binary and ordinal data: theory, algorithms, and complexity</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year
2010
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Proceedings of the 7th International Conference on Concept Lattices and Their Applications
ISBN
978-84-614-4027-6
ISSN
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e-ISSN
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Number of pages
10
Pages from-to
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Publisher name
University of Sevilla
Place of publication
Sevilla
Event location
Sevilla, Španělsko
Event date
Oct 19, 2010
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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