Some Contributions To Generalized Regular Semigroups | Posted on:2008-01-09 | Degree:Master | Type:Thesis | Country:China | Candidate:F Li | Full Text:PDF | GTID:2120360215469629 | Subject:Applied Mathematics | Abstract/Summary: | PDF Full Text Request | In this thesis, three classes of generalized semigroups are studied. This thesisconsists of these chapters.Chapter 1 is devoted to perfect wrpp semigroups. We obtain some charac-terizations of perfect wrpp semigroups in terms of the Green's (?)-relations.The aim of Chapter 2 is to study wrpp semigroups satisfying permutationidentities. After obtaining some characterizations of wrpp semigroups satisfyingpermutation identities, we establish the structure of such semigroups by using ofweak spined products.In Chapter 3, we investigate rpp semigroups with weak normal idempotents.After obtaining some characterizations of such semigroups, we establish the struc-ture of rpp semigroups with weak normal idempotents.
| Keywords/Search Tags: | C-wrpp semigroup, perfect wrpp semigroup, Green's (+)-relations, left(right)normal band, wrpp semigroup, permutation identity, rpp semigroup, right adequate semigroup, weak normal idempotent | PDF Full Text Request | Related items |
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