Green’s relations for 2 × 2 matrices over linearly ordered abelian groups

We consider semigroups of 2 Ã 2 matrices over linearly ordered abelian groups with respect to multiplication, which is defined similarly to tropical algebra. We study Greenâs relations on such semigroups. In particular, we describe the R-, L- and H-classes of such semigroups and give a simple criter...

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Bibliographic Details
Main Authors: Marilyn Kutti, Valdis Laan
Format: Article
Language:English
Published: Estonian Academy Publishers 2025-02-01
Series:Proceedings of the Estonian Academy of Sciences
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Online Access:https://kirj.ee/wp-content/plugins/kirj/pub/proc-1-2025-62-70_20250207125248.pdf
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