Homomorphisms of sandwich semigroups and sandwich near-rings

K. D. Magill; P. R. Misra

doi:10.1007/bf02573754

Homomorphisms of sandwich semigroups and sandwich near-rings

Semigroup Forum ◽

10.1007/bf02573754 ◽

1993 ◽

Vol 47 (1) ◽

pp. 168-181 ◽

Cited By ~ 1

Author(s):

K. D. Magill ◽

P. R. Misra

Keyword(s):

Sandwich Semigroups

Green's relations for regular elements of sandwich semigroups, II; semigroups of continuous functions

Journal of the Australian Mathematical Society ◽

10.1017/s1446788700038933 ◽

1978 ◽

Vol 25 (1) ◽

pp. 45-65 ◽

Cited By ~ 6

Author(s):

K. D. Magill ◽

S. Subbiah

Keyword(s):

Continuous Functions ◽

Maximal Subgroups ◽

Green’S Relations ◽

Boolean Ring ◽

Regular Elements ◽

Ring Homomorphisms ◽

Special Cases ◽

Green's Relations ◽

Sandwich Semigroup ◽

Sandwich Semigroups

AbstractA sandwich semigroup of continuous functions consists of continuous functions with domains all in some space X and ranges all in some space Y with multiplication defined by fg = foαog where α is a fixed continuous function from a subspace of Y into X. These semigroups include, as special cases, a number of semigroups previously studied by various people. In this paper, we characterize the regular elements of such semigroups and we completely determine Green's relations for the regular elements. We also determine the maximal subgroups and, finally, we apply some of these results to semigroups of Boolean ring homomorphisms.

The primitive matrices of sandwich semigroups of generalized circulant Boolean matrices

Applied Mathematics-A Journal of Chinese Universities ◽

10.1007/s11766-013-3067-0 ◽

2013 ◽

Vol 28 (3) ◽

pp. 311-320

Author(s):

Jian-ping Liu ◽

Jin-song Chen

Keyword(s):

Sandwich Semigroups