Zobrazeno 1 - 10
of 647
pro vyhledávání: '"Quasivariety"'
Autor:
Basheyeva Ainur, Lutsak Svetlana
Publikováno v:
Open Mathematics, Vol 22, Iss 1, Pp 11-39 (2024)
We prove that a finite pointed abelian group generates a finitely axiomatizable variety that has a finite quasivariety lattice. As a consequence, we obtain that a quasivariety generated by a finite pointed abelian group has a finite basis of quasi-id
Externí odkaz:
https://doaj.org/article/4891064c05634ea8baa3eff28d4f95c8
Publikováno v:
Қарағанды университетінің хабаршысы. Математика сериясы, Vol 111, Iss 3 (2023)
The questions of the standardness of quasivarieties have been investigated by many authors. The problem "Which finite lattices generate a standard topological prevariety?" was suggested by D.M. Clark, B.A. Davey, M.G. Jackson and J.G. Pitkethly in 20
Externí odkaz:
https://doaj.org/article/9e44fa713cf04aa98b3c162077973100
Publikováno v:
Қарағанды университетінің хабаршысы. Математика сериясы, Vol 110, Iss 2 (2023)
Given article is devoted to the study of semantic Jonsson quasivariety of universal unars of signature containing only unary functional symbol. The first section of the article consists of basic necessary concepts. There were defined new notions of s
Externí odkaz:
https://doaj.org/article/8e660b24b6884ab489a5ecbc41779666
Akademický článek
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Akademický článek
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Publikováno v:
Вестник КазНУ. Серия математика, механика, информатика, Vol 115, Iss 3, Pp 49-57 (2022)
In 1970 R. McKenzie proved that any finite lattice has a finite basis of identities. However the similar result for quasi-identities is not true. That is there is a finite lattice that has no finite basis of quasi-identities. The problem "Which finit
Externí odkaz:
https://doaj.org/article/b90f0050335747aaa1e7679e1dc7802b
Autor:
A.O. Basheyeva, S.M. Lutsak
Publikováno v:
Қарағанды университетінің хабаршысы. Математика сериясы, Vol 110, Iss 2 (2023)
The existence of a finite identity basis for any finite lattice was established by R. McKenzie in 1970, but the analogous statement for quasi-identities is incorrect. So, there is a finite lattice that does not have a finite quasi-identity basis and,
Externí odkaz:
https://doaj.org/article/04b8f654930a4511aa972b16b0d516ae
Publikováno v:
Қарағанды университетінің хабаршысы. Математика сериясы, Vol 108, Iss 4 (2022)
This article is devoted to the study of Jonsson quasivarieties in a signature enriched with new predicate and constant symbols. New concepts of semantic Jonsson quasivariety and fragment-conservativeness of the center of the Jonsson theory are introd
Externí odkaz:
https://doaj.org/article/d6cb5ce65c7549bdb8a272564acd8299
Akademický článek
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Autor:
Wiesław Dziobiak, Marina Schwidefsky
Publikováno v:
Bulletin of the Section of Logic, Vol 51, Iss 3, Pp 329-344 (2022)
The categorical dualities presented are: (first) for the category of bi-algebraic lattices that belong to the variety generated by the smallest non-modular lattice with complete (0,1)-lattice homomorphisms as morphisms, and (second) for the category
Externí odkaz:
https://doaj.org/article/70ec3dbc68ac4b1d950a6630e919dc33