论文信息 - On the Structure of Linear Semigroups

On the Structure of Linear Semigroups

Abstract Green's Lemma [1, Lemma 2.2] is one of the most important theorems in the theory of semigroups. The main purpose of this note is to establish a generalized Green's Lemma and a generalized Clifford and Miller's Theorem [1, p. 59] in linear semigroups. A generalized Green's Lemma describes the behavior of certain mappings between two distinct D -classes.

Jin Bai Kim | Jin Bai Kim

[1] Jin Bai Kim. On singular matrices , 1968 .

[2] E. Hewitt,et al. The irreducible representations of a semigroup related to the symmetric group , 1957 .

[3] G. Rota. On the foundations of combinatorial theory I. Theory of Möbius Functions , 1964 .

[4] J. A. Green,et al. On the Structure of Semigroups , 1951 .

[5] J. Howie,et al. The Subsemigroup Generated By the Idempotents of a Full Transformation Semigroup , 1966 .

[6] L. Mirsky,et al. An introduction to linear algebra , 1957, Mathematical Gazette.

[7] On a class of (h, k) regular semigroups , 1967 .

[8] A. H. Clifford,et al. Regular -classes in semigroups , 1956 .

[9] J. Erdos. On products of idempotent matrices , 1967, Glasgow Mathematical Journal.

[10] N. Jacobson. Lectures In Abstract Algebra , 1951 .

[11] A. Clifford,et al. The algebraic theory of semigroups , 1964 .

[12] John H. Hodges. Scalar polynomial equations for matrices over a finite field , 1958 .