Finiteness of the nearring of congruence preserving and 0-preserving functions of an expanded group
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...
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| Dokumentumtípus: | Cikk |
| Megjelent: |
2018
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| Sorozat: | Acta scientiarum mathematicarum
84 No. 3-4 |
| Kulcsszavak: | Algebrai kongruencia, Matematika |
| doi: | 10.14232/actasm-017-299-9 |
| Online Access: | http://acta.bibl.u-szeged.hu/56921 |
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| 024 | 7 | |a 10.14232/actasm-017-299-9 |2 doi | |
| 040 | |a SZTE Egyetemi Kiadványok Repozitórium |b hun | ||
| 041 | |a zxx | ||
| 100 | 1 | |a Peterson Gary L. | |
| 245 | 1 | 0 | |a Finiteness of the nearring of congruence preserving and 0-preserving functions of an expanded group |h [elektronikus dokumentum] / |c Peterson Gary L. |
| 260 | |c 2018 | ||
| 300 | |a 401-411 | ||
| 490 | 0 | |a Acta scientiarum mathematicarum |v 84 No. 3-4 | |
| 520 | 3 | |a 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. | |
| 695 | |a Algebrai kongruencia, Matematika | ||
| 700 | 0 | 1 | |a Scott Stuart D. |e aut |
| 856 | 4 | 0 | |u http://acta.bibl.u-szeged.hu/56921/1/math_084_numb_003-004_401-411.pdf |z Dokumentum-elérés |