| dc.contributor.author | Stokes, Tim E. | en_NZ |
| dc.date.accessioned | 2019-12-02T02:51:15Z | |
| dc.date.available | 2015-01-01 | en_NZ |
| dc.date.available | 2019-12-02T02:51:15Z | |
| dc.date.issued | 2015 | en_NZ |
| dc.identifier.citation | Stokes, T. E. (2015). Domain and range operations in semigroups and rings. Communications in Algebra, 43(9), 3979–4007. https://doi.org/10.1080/00927872.2014.937533 | en |
| dc.identifier.issn | 0092-7872 | en_NZ |
| dc.identifier.uri | https://hdl.handle.net/10289/13246 | |
| dc.description.abstract | A D-semigroup S is a semigroup equipped with an operation D satisfying laws asserting that for a ∈ S, D(a) is the smallest e in some set of idempotents U ⊆ S for which ea = a. D-semigroups correspond to left-reduced U-semiabundant semigroups. The basic properties and many examples of D-semigroups are given. Also considered are D-rings, whose multiplicative semigroup is a D-semigroup. Rickart *-rings provide important examples, and the most general D-rings for which the elements of the form D(a) constitute a lattice under the same meet and join operations as for Rickart *-rings are described. | |
| dc.format.mimetype | application/pdf | |
| dc.language.iso | en | en_NZ |
| dc.publisher | Taylor and Francis | en_NZ |
| dc.rights | This is an author’s accepted version of an article published in the journal: Communications in Algebra. © 2015 Taylor & Francis Group. | |
| dc.subject | Science & Technology | en_NZ |
| dc.subject | Physical Sciences | en_NZ |
| dc.subject | Mathematics | en_NZ |
| dc.subject | Rickart *-ring | en_NZ |
| dc.subject | U-semiabundant semigroup | en_NZ |
| dc.subject | U-semiadequate semigroup | en_NZ |
| dc.subject | RESTRICTION SEMIGROUPS | en_NZ |
| dc.subject | ABUNDANT SEMIGROUPS | en_NZ |
| dc.subject | CATEGORIES | en_NZ |
| dc.subject | ALGEBRAS | en_NZ |
| dc.title | Domain and range operations in semigroups and rings | en_NZ |
| dc.type | Journal Article | |
| dc.identifier.doi | 10.1080/00927872.2014.937533 | en_NZ |
| dc.relation.isPartOf | Communications in Algebra | en_NZ |
| pubs.begin-page | 3979 | |
| pubs.elements-id | 128088 | |
| pubs.end-page | 4007 | |
| pubs.issue | 9 | en_NZ |
| pubs.publication-status | Published | en_NZ |
| pubs.volume | 43 | en_NZ |
| dc.identifier.eissn | 1532-4125 | en_NZ |
