Proper Restriction Semigroups – Semidirect Products and W -products
نویسندگان
چکیده
Fountain and Gomes have shown that any proper left ample semigroup embeds into a so-called W -product, which is a subsemigroup of a reverse semidirect product T ⋉ Y of a semilattice Y by a monoid T , where the action of T on Y is injective with images of the action being order ideals of Y. Proper left ample semigroups are proper left restriction, the latter forming a much wider class. The aim of this paper is to give necessary and sufficient conditions on a proper left restriction semigroup such that it embeds into a W -product. We also examine the complex relationship between W -products and semidirect products of the form Y ⋊ T .
منابع مشابه
No : 5 Title : ‘ Proper Restriction Semigroups – Semidirect Products and W - Products ’ Author ( S )
Fountain and Gomes have shown that any proper left ample semigroup embeds into a so-calledW -product, which is a subsemigroup of a reversed semidirect product T ⋉ Y of a semilattice Y by a monoid T , where the action of T on Y is injective with images of the action being order ideals of Y. Proper left ample semigroups are proper left restriction, the latter forming a much wider class. The aim o...
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