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Related representation theorems for rings, semi-rings, near-rings and semi-near-rings by partial transformations and partial endomorphisms
| Content Provider | Scilit |
|---|---|
| Author | Weinert, Hanns Joachim |
| Copyright Year | 1977 |
| Description | Fundamental statements for (associative) rings are that (a) the endomorphisms of each commutative group (U, +) form a ring and (b) eachring may be embedded in such a ring of endomorphisms. In order to generalise these theorems to groups and rings whose addition may not be commutative, one has to deal with partial endomorphisms. But thesering-theoretical Theorems 4a and 4b turn out to be specialisations of similarones for semi-near-rings, near-rings and semirings, developed here inSection 2 after some preliminaries on semi-near-rings in Section 1. A glance at Definition 1 and the ring-theoretical theorems and remarks at the end of Section 2 may give more orientation. |
| Related Links | https://www.cambridge.org/core/services/aop-cambridge-core/content/view/3EC7A7647B1907CD7EAB19E000F31E54/S0013091500026547a.pdf/div-class-title-related-representation-theorems-for-rings-semi-rings-near-rings-and-semi-near-rings-by-partial-transformations-and-partial-endomorphisms-div.pdf |
| Ending Page | 315 |
| Page Count | 9 |
| Starting Page | 307 |
| ISSN | 00130915 |
| e-ISSN | 14643839 |
| DOI | 10.1017/s0013091500026547 |
| Journal | Proceedings of the Edinburgh Mathematical Society |
| Issue Number | 4 |
| Volume Number | 20 |
| Language | English |
| Publisher | Cambridge University Press (CUP) |
| Publisher Date | 1977-09-01 |
| Access Restriction | Open |
| Subject Keyword | Proceedings of the Edinburgh Mathematical Society History and Philosophy of Science Semi Near Rings |
| Content Type | Text |
| Resource Type | Article |
| Subject | Mathematics |
