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The semigroup of Hall matrices over distributive lattices

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Publication:1583913
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DOI10.1007/PL00006027zbMath0970.20047OpenAlexW2087301987MaRDI QIDQ1583913

Yi-Jia Tan

Publication date: 22 October 2001

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/pl00006027


zbMATH Keywords

Green's relationsregular elementsinvertible matricescompletely distributive latticesproducts of matricesHall matricesderived semigroups


Mathematics Subject Classification ID

Semigroups of transformations, relations, partitions, etc. (20M20) Complete distributivity (06D10) Algebraic systems of matrices (15A30)


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The semigroup of incline Hall matrices ⋮ Invertible incline matrices and Cramer's rule over inclines ⋮ On invertible matrices over antirings ⋮ Indecomposable matrices over a distributive lattice ⋮ Some conditions for matrices over an incline to be invertible and general linear group on an incline ⋮ Extended Green’s relations on Mn(D), a characterization



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