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- W2406208059 abstract "We discuss some fundamental properties of inverse semigroups of matrices,and prove that the idempotents of such a semigroup constitute subsemilattice of a finite Boolean lattice, and that the inverse semigroups of some matrices with the same rank are groups.At last,we determine completely the construction of the inverse semigroups of some 2×2 matrices:such a semigroup is isomorphic to a linear group of dimension 2 or a null-adjoined group,or is a finite semilattice of Abelian linear groups of finite dimension,or satisfies some other properties. The necessary and sufficient conditions are given that the sets consisting of some 2×2 matrices become inverse semigroups." @default.
- W2406208059 created "2016-06-24" @default.
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- W2406208059 date "2008-01-01" @default.
- W2406208059 modified "2023-09-25" @default.
- W2406208059 title "Inverse Semigroups of Matrices" @default.
- W2406208059 hasPublicationYear "2008" @default.
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