At first, we determine the Green's relations of a tiling semigroup. Then we analyze some congruences, which lead to a variety of properties characterizing tiling semigroups. It is proved that any tiling semigroup is 0-E-reflexive but is not 0-simple. We have found out certain necessary conditions in
✦ LIBER ✦
Some Properties of Hall–Yamada Semigroups
✍ Scribed by T. Newton
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 271 KB
- Volume
- 185
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
✦ Synopsis
The Hall᎐Yamada structure theorem for orthodox semigroups utilizes the ortho-Ž . dox semigroup H H B, T, which is built up from a band B, an inverse semigroup T, and a morphism from T into W r␥ , where W is the Hall semigroup of B B B
and ␥ is its least inverse semigroup congruence. In this paper we cosmetically alter Ž . H H B ,T , and then proceed to characterize properties of this altered semigroup Ž . in terms of properties of B, T, .
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