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Articolul urmator |
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Ultima descărcare din IBN: 2023-05-02 14:24 |
Căutarea după subiecte similare conform CZU |
512.534+512.541.5 (1) |
Algebra (400) |
SM ISO690:2012 CHOBAN, Mitrofan, VALUŢĂ, Ion. On semigroups of endomorphisms of universal algebras. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2020, nr. 3(94), pp. 75-87. ISSN 1024-7696. |
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica | ||||||
Numărul 3(94) / 2020 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
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CZU: 512.534+512.541.5 | ||||||
MSC 2010: 03C05, 08A05, 08C35. | ||||||
Pag. 75-87 | ||||||
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Rezumat | ||||||
In the present article the left ideals of the semigroup of endomorphisms End(G) of a universal algebra G are studied. The lattice Specs(G) of saturated left ideals and the lattice Specf (G) of full ideals of the semigroup of endomorphisms End(G) of a universal algebra G are introduced and characterized (Theorem 2, Corollaries 7 and 8). In a free universal algebra any left ideal is a full left ideal. Theorem 1 describes the cyclic universal algebras. Theorem 3 affirms that any semigroup with unity is isomorphic to a semigroup of endomorphisms End(G) of some cyclic free universal algebra G |
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Cuvinte-cheie Universal algebra, free universal algebra, left ideal, semigroup of endomorphisms |
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