| Conţinutul numărului revistei |
| Articolul precedent |
| Articolul urmator |
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 604 6 |
| Ultima descărcare din IBN: 2022-05-02 13:44 |
| Căutarea după subiecte similare conform CZU |
| 512.55+512.56 (4) |
| Algebră (400) |
 SM ISO690:2012RAJIB, Debnath, ANJAN, Kumar Bhuniya. On the lattice of congruences on completely regular semirings. In: Quasigroups and Related Systems, 2017, vol. 25, nr. 2(37), pp. 211-220. ISSN 1561-2848. |
| EXPORT metadate: Google Scholar Crossref CERIF DataCite Dublin Core |
 Quasigroups and Related Systems |
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| Volumul 25, Numărul 2(37) / 2017 / ISSN 1561-2848 | ||||||
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| CZU: 512.55+512.56 | ||||||
| MSC 2010: 16Y60. | ||||||
| Pag. 211-220 | ||||||
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| Rezumat | ||||||
A semiring S is called completely regular if it is the disjunctive union of its subrings. If S is a completely regular semiring, then the Green's relationH+ is a congruence on S and S=H+ is an idempotent semiring. Let V be a variety of idempotent semirings. Here we characterize the lattice C(S) of all congruences on S when S is completely regular and S=H+ 2 V. The lattice C(S) can be embedded into the product of the lattice V(S) of all V-congruences on S and the lattice M(S) of all additive idempotent-separating congruences on S if and only if S is _-modular completely regular semiring such that S=H+ 2 V. |
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| Cuvinte-cheie Semiring, Ring, completelyregular, idemp otent, mo dularlattice. |
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