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| Ultima descărcare din IBN: 2020-03-31 09:11 |
| Căutarea după subiecte similare conform CZU |
| 512.53+512.533.7 (3) |
| Алгебра (400) |
 SM ISO690:2012SUNIL KUMAR MAITY, , KAPURIA, Uma, MITRA, Biswajit. Congruences on nil-extension of a b-lattice of skew-rings. In: Quasigroups and Related Systems, 2019, vol. 27, nr. 2(42), pp. 273-280. ISSN 1561-2848. |
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 Quasigroups and Related Systems |
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| Volumul 27, Numărul 2(42) / 2019 / ISSN 1561-2848 | ||||||
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| CZU: 512.53+512.533.7 | ||||||
| Pag. 273-280 | ||||||
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| Rezumat | ||||||
Let S be a nil-extension of a b-lattice of skew-rings K by a semiring Q. A congruence pair (; !) on S consists of a congruence on Q and a congruence ! on K. In this paper, we establish that there is an order preserving bijection between the set of all congruences on S onto the set of all congruence pairs on S. It is also proved that if S is a nil-extension of a completely regular semiring, then every congruence on S can be uniquely represented by a congruence pair and there is an order preserving bijection from the set of all congruences on S onto the set of all congruence pairs on S. |
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