Ordered semigroups which contain zeroid elements

In CLIFFORD and MILLER show that if a semigroup S has a zeroid element, then its kernel is the subgroup K of zeroids of S. Furthermore K determines a partiti on G of S in a certain way. The purpose of this paper is to consider such a semigroup under the suppositions that K is a nondegenerate subset of 8 and there is a comparable pair of elements of S not both in the same set of G. We find that K inclndes a subchain Q of S which is o-isomorphic to the additive group of integers. Some aspects of the structure of ordered semigroups with zeroids elements are then investigated.

PDF do Artigo | PDF integral
Gazeta nº 105, pág. nº 6 | Categoria: Artigos | Palavras-Chave: gazeta, matemática, semigrupos,
Autor(es): C. W. Leininger |