A congruence Ο T on a subsemigroup T of S extends to the semigroup S, if there exists a congruence Ο on S such that Ο T = Ο T . A semigroup S has the congruence extension property (CEP) if each congruence on each subsemigroup extends to S. Previously, it was shown that a semigroup S has CEP if and o
Semigroups with the ideal extension property
β Scribed by Xiaojiang Guo
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 109 KB
- Volume
- 267
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
β¦ Synopsis
The aim of this paper is to study semigroups with the ideal extension property. We establish a structure theorem for semigroups with the ideal extension property.
π SIMILAR VOLUMES
Separable Hilbert lattices Le are constructed that enjoy the following property: each ortho-isomorphism between arbitrary interval sublattices [0,a] and [0,b'] of height at least 3 (a, b ~ ~) extends to an ortho-automorphism of the lattice ~.
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