Some conditions for matrices over an incline to be invertible and general linear group on an incline

DOI10.1007/s10114-004-0497-xzbMath1085.15021OpenAlexW2092970954MaRDI QIDQ2581245

Hong-Xing Li, Song-Chol Han

Publication date: 9 January 2006

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-004-0497-x

zbMATH Keywords

permutation matrixdistributive latticelinear groupincline

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Structure and representation theory of distributive lattices (06D05) Semirings (16Y60)

Related Items (3)

An application of incline matrices in dynamic analysis of generalized fuzzy bidirectional associative memories ⋮ Maximum order-index of matrices over commutative inclines: an answer to an open problem ⋮ On regular elements in an incline.

Cites Work

• Inclines and incline matrices: A survey.
• The semigroup of Hall matrices over distributive lattices
• Lattice matrices
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