Some Conditions for Matrices over an Incline To Be Invertible and General Linear Group on an Incline

Author:

Han Song Chol,Li Hong Xing

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Mathematics

Reference9 articles.

1. Cao, Z. Q., Kim, K. H., Roush, F. W.: Incline Algebra and Applications, John Wiley, New York, 1984

2. Kim, K. H., Roush, F. W.: Inclines and incline matrices: a survey. Linear Algebra Appl., 379, 457–473 (2004)

3. Give'on, Y.: Lattice matrices. Information and Control, 7, 477–484 (1964)

4. Skornyakov, L. A.: Invertible matrices over distributive structures (in Russian). Sibirsk. Mat. Zh., 27(2), 182–185 (1986)

5. Zhao, C. K.: Invertible conditions for a matrix over distributive lattice (in Chinese). Acta Sci. Natur. Univ. NeiMonggol, 22(4), 477–480 (1991)

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1. Regular Matrices over an Incline;Combinatorial Matrix Theory and Generalized Inverses of Matrices;2013

2. On Regular Elements in an Incline;International Journal of Mathematics and Mathematical Sciences;2010

3. An application of incline matrices in dynamic analysis of generalized fuzzy bidirectional associative memories;Fuzzy Sets and Systems;2007-06

4. Maximum order-index of matrices over commutative inclines: an answer to an open problem;Linear Algebra and its Applications;2007-01

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