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JOURNALS // Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports] // Archive
Sib. Èlektron. Mat. Izv., 2016 Volume 13, Pages 338–340 (Mi semr677)
Mathematical logic, algebra and number theory

The main semantics of equality for partial algebras correspond to the basic operators

M. S. Sheremetab

a Sobolev Institute of Mathematics, pr. Koptyuga, 4, 630090, Novosibirsk, Russia
b Siberian Institute of Management RANEPA, ul. Nizhegorodskaya, 6, 630102, Novosibirsk, Russia

Abstract: For partial algebras, we demonstrate a natural correspondence between the main semantics of equality and the basic operators of homomorphic images and sub-algebras.

Keywords: partial algebras, semantics of equality.

UDC: 512.57

MSC: 08B05, 08A55

Received November 6, 2015, published May 10, 2016

DOI: 10.17377/semi.2016.13.028



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© Steklov Math. Inst. of RAS, 2024