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  • 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.
  • 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. (en)
Title
  • Operators and Spaces Associated to Matrices with Grades and Their Decompositions II
  • Operators and Spaces Associated to Matrices with Grades and Their Decompositions II (en)
skos:prefLabel
  • Operators and Spaces Associated to Matrices with Grades and Their Decompositions II
  • Operators and Spaces Associated to Matrices with Grades and Their Decompositions II (en)
skos:notation
  • RIV/61989592:15310/10:10216446!RIV11-GA0-15310___
http://linked.open...avai/riv/aktivita
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  • P(GAP202/10/0262), Z(MSM6198959214)
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  • 277111
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  • RIV/61989592:15310/10:10216446
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  • matrix decomposition, row space, column space, closure operator, interior operator (en)
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  • [9C660F4D42D9]
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  • Sevilla, Španělsko
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  • Sevilla
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  • Proceedings of the 7th International Conference on Concept Lattices and Their Applications
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  • BĚLOHLÁVEK, Radim
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number of pages
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  • University of Sevilla
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  • 978-84-614-4027-6
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  • 15310
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