Peterson, Gary L. and Scott, Stuart D.: Finiteness of the nearring of congruence preserving and 0-preserving functions of an expanded group. In: Acta scientiarum mathematicarum, (84) 3-4. pp. 401-411. (2018)
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Abstract
In this paper we shall obtain that the nearring C0(V ) of congruence preserving functions that are 0-preserving of a tame N-module V of a nearring N is finite when N is finite. As a consequence, C0(V ) of an expanded group hV, +, Fi is finite when the nearring of 0-preserving polynomial functions P0(V ) of hV, +, Fi is finite. We then go on to obtain further consequences of this result.
| Item Type: | Article |
|---|---|
| Journal or Publication Title: | Acta scientiarum mathematicarum |
| Date: | 2018 |
| Volume: | 84 |
| Number: | 3-4 |
| ISSN: | 0001-6969 |
| Page Range: | pp. 401-411 |
| Official URL: | http://www.acta.hu |
| DOI: | https://doi.org/10.14232/actasm-017-299-9 |
| Uncontrolled Keywords: | Algebrai kongruencia, Matematika |
| Additional Information: | Bibliogr.: 411. p. ; összefoglalás angol nyelven |
| Date Deposited: | 2019. Jan. 30. 05:18 |
| Last Modified: | 2019. Sep. 09. 13:44 |
| URI: | http://acta.bibl.u-szeged.hu/id/eprint/56921 |
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