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Articolul urmator |
322 7 |
Ultima descărcare din IBN: 2023-10-09 16:41 |
Căutarea după subiecte similare conform CZU |
512.534+512.54+512.554 (1) |
Алгебра (410) |
SM ISO690:2012 ZHUCHOK, Anatolii, ZHUCHOK, Yuliia, ODINTSOVA, Oksana O.. Free left k-nilpotent n-tuple semigroups. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2020, nr. 3(94), pp. 29-38. 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+512.54+512.554 | ||||||
MSC 2010: 08B20, 20M10, 20M99, 17A30. | ||||||
Pag. 29-38 | ||||||
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Rezumat | ||||||
We introduce left (right) k-nilpotent n-tuple semigroups which are analogs of left (right) nilpotent semigroups of rank p considered by Schein, and construct the free left (right) k-nilpotent n-tuple semigroup of rank 1. We prove that the free left (right) k-nilpotent n-tuple semigroup of rank m > 1 is a subdirect product of the free left (right) k-nilpotent semigroup with m generators and the free left (right) k-nilpotent n-tuple semigroup of rank 1. We also characterize the least left (right) k-nilpotent congruence on the free n-tuple semigroup. |
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Cuvinte-cheie n-tuple semigroup, free left k-nilpotent n-tuple semigroup, free n-tuple semigroup, semigroup, congruence |
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