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Automorphism groups of laminated near-rings
| Content Provider | Scilit |
|---|---|
| Author | Magill, K. D. |
| Copyright Year | 1980 |
| Description | Let N be an arbitrary near-ring. Each element a ∈ N determines in a natural way a new multiplication on the elements of N which results in a near-ring $N_{a}$ whose additive group coincides with that of N but whose multiplicative semigroup generally differs. Specifically, we define the product x * y of two elements in $N_{a}$ by x * y = x a y where a product in the original near-ring is denoted by juxtaposition. One easily checks that $N_{a}$ is a near-ring with addition identical to that of N. The original near-ring N will be referred to as the base near-ring, $N_{a}$ will be referred to as a laminated near-ring of N and a will be referred to as the laminating element or sometimes more simply as the laminator. |
| Related Links | https://www.cambridge.org/core/services/aop-cambridge-core/content/view/9F526B21276C5D0D6F80BD8E24E25D50/S0013091500003643a.pdf/div-class-title-automorphism-groups-of-laminated-near-rings-div.pdf |
| ISSN | 00130915 |
| e-ISSN | 14643839 |
| DOI | 10.1017/s0013091500003643 |
| Journal | Proceedings of the Edinburgh Mathematical Society |
| Issue Number | 1 |
| Volume Number | 23 |
| Language | English |
| Publisher | Cambridge University Press (CUP) |
| Publisher Date | 1980-02-01 |
| Access Restriction | Open |
| Subject Keyword | Proceedings of the Edinburgh Mathematical Society Laminated Near Ring |
| Content Type | Text |
| Resource Type | Article |
| Subject | Mathematics |
