Kátai-Urbán, Kamilla and Waldhauser, Tamás (2020) Multiplication of matrices over lattices. Journal of Multiple-Valued Logic and Soft Computing. ISSN 1542-3980 (In Press)
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Abstract
We study the multiplication operation of square matrices over lattices. If the underlying lattice is distributive, then matrices form a semigroup; we investigate idempotent and nilpotent elements and the maximal subgroups of this matrix semigroup. We prove that matrix multiplication over nondistributive lattices is antiassociative, and we determine the invertible matrices in the case when the least or the greatest element of the lattice is irreducible.
| Item Type: | Article |
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| Subjects: | Q Science / természettudomány > QA Mathematics / matematika > QA72 Algebra / algebra |
| Depositing User: | Kamilla Kátai-Urbán |
| Date Deposited: | 29 Sep 2021 13:11 |
| Last Modified: | 29 Sep 2021 13:11 |
| URI: | http://real.mtak.hu/id/eprint/131563 |
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