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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2016, Volume 13, Pages 280–285
DOI: https://doi.org/10.17377/semi.2016.13.022 (Mi semr671) 		 
Mathematical logic, algebra and number theory

Weak conjunctions of identities

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
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DOI: https://doi.org/10.17377/semi.2016.13.022
Abstract: We say that a weak conjunction of equalities of partial functions is true if all those equalities are true in a usual sence provided that all functions there are defined. We construct a full and correct system of inference rules for the logic of weak conjunctions of identities.
Keywords: partial algebras, weak identities.
Received November 9, 2015, published April 15, 2016
Bibliographic databases:
Document Type: Article
UDC: 510.64. 512.57
MSC: 08B05, 08A55
Language: Russian
Citation: M. S. Sheremet, “Weak conjunctions of identities”, Sib. Èlektron. Mat. Izv., 13 (2016), 280–285
Citation in format AMSBIB
\Bibitem{She16}
\by M.~S.~Sheremet
\paper Weak conjunctions of identities
\jour Sib. \`Elektron. Mat. Izv.
\yr 2016
\vol 13
\pages 280--285
\mathnet{http://mi.mathnet.ru/semr671}
\crossref{https://doi.org/10.17377/semi.2016.13.022}
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