Maximum order-index of matrices over commutative inclines: an answer to an open problem

DOI10.1016/j.laa.2006.02.044zbMath1115.15015OpenAlexW2010160947MaRDI QIDQ865464

Song-Chol Han, Hong-Xing Li

Publication date: 14 February 2007

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2006.02.044

zbMATH Keywords

cyclereductionsemiringwalkinclineincline matrixorder-index

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Semirings (16Y60) Ordered semigroups and monoids (06F05)

Cites Work

• Inclines and incline matrices: A survey.
• Indices and periods of incline matrices
• The transitive closure, convergence of powers and adjoint of generalized fuzzy matrices
• The semigroup of incline Hall matrices
• Invertible incline matrices and Cramer's rule over inclines
• Standard eigenvectors of incline matrices
• Inclines of algebraic structures
• On nilpotent incline matrices
• Some conditions for matrices over an incline to be invertible and general linear group on an incline
• FUZZY SET THEORY APPLIED TO INCLINE ALGEBRAS
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