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Operators related to idempotent generated and monoid completely regular semigroups
| Content Provider | Scilit |
|---|---|
| Author | Petrich, Mario Reilly, Norman R. |
| Copyright Year | 1990 |
| Description | The class CR of completely regular semigroups (unions of groups or algebras with the associative binary operation of multiplication and the unary operation of inversion subject to the laws x = $xx^{-1}$, $(x^{−1})^{-1}$ = x and $xx^{-1}$ = $x^{-1}$x) is a variety. Among the important subclasses of CR are the classes M of monoids and I of idempotent generated members. For each C ∈ {I, M}, there are associated mappings ν → ν ∩ C and ν → (Ν ∩ C), the variety generated by ν ∩ C. The lattice theoretic properties of these mappings and the interactions between these mappings are studied. |
| Related Links | https://www.cambridge.org/core/services/aop-cambridge-core/content/view/2CF171237E2347E4C8C6BB42161E78D9/S1446788700030202a.pdf/div-class-title-operators-related-to-idempotent-generated-and-monoid-completely-regular-semigroups-div.pdf |
| ISSN | 02636115 |
| DOI | 10.1017/s1446788700030202 |
| Journal | Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics |
| Issue Number | 1 |
| Volume Number | 49 |
| Language | English |
| Publisher | Cambridge University Press (CUP) |
| Publisher Date | 1990-08-01 |
| Access Restriction | Open |
| Subject Keyword | Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics 20 M 07 20 M 10 |
| Content Type | Text |
| Resource Type | Article |
