Zobrazeno 1 - 10
of 45
pro vyhledávání: '"Polyadic algebra"'
Autor:
S. Duplij
Publikováno v:
East European Journal of Physics, Iss 2 (2021)
This article continues the study of concrete algebra-like structures in our polyadic approach, where the arities of all operations are initially taken as arbitrary, but the relations between them, the arity shapes, are to be found from some natural c
Externí odkaz:
https://doaj.org/article/b1fcafbf0fe5479db404272f305d2fc6
Akademický článek
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Autor:
Daigneault, Aubert
Publikováno v:
Transactions of the American Mathematical Society, 1971 Jul 01. 158(1), 219-229.
Externí odkaz:
https://www.jstor.org/stable/1995783
Autor:
Johnson, James S.
Publikováno v:
Transactions of the American Mathematical Society, 1970 Jun 01. 149(2), 627-652.
Externí odkaz:
https://www.jstor.org/stable/1995418
Autor:
Piotr Błaszczyk, Alexandre V. Borovik, Mikhail G. Katz, Taras Kudryk, David Sherry, Vladimir Kanovei, Semen S. Kutateladze
Publikováno v:
PIOTR B LASZCZYK,, Borovik, A, VLADIMIR KANOVEI, Katz, M G, TARAS KUDRYK, SEMEN S. KUTATELADZE & DAVID SHERRY 2016, ' A Non-Standard Analysis of a Cultural Icon : The Case of Paul Halmos ', Logica Universalis, vol. 10, no. 4 . https://doi.org/10.1007/s11787-016-0153-0
We examine Paul Halmos' comments on category theory, Dedekind cuts, devil worship, logic, and Robinson's infinitesimals. Halmos' scepticism about category theory derives from his philosophical position of naive set-theoretic realism. In the words of
Akademický článek
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Autor:
Steven Duplij
Publikováno v:
East European Journal of Physics, Iss 2 (2021)
This article continues the study of concrete algebra-like structures in our polyadic approach, where the arities of all operations are initially taken as arbitrary, but the relations between them, the arity shapes, are to be found from some natural c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4e30b761d3bdec11e1ccd904770edad8
Autor:
Tarek Ahmed
Publikováno v:
Algebra universalis. 72:371-380
Answering a question posed by Hodkinson, we show that for infinite ordinals α, every atomic polyadic algebra of dimension α (PAα) is completely representable if and only if it is completely additive. We readily infer, noting that complete additivi
Autor:
André Rognes
Publikováno v:
Mathematical Logic Quarterly. 55:87-104
A class of many-sorted polyadic set algebras is introduced. These generalise structure and model in a way that is relevant in regards to the Entscheidungsproblem and to automated reasoning. A downward Lowenheim-Skolem property is shown in that each s
Autor:
Mohamed Amer, Tarek Ahmed
Publikováno v:
MLQ. 52:444-449
In this note we give an interpretation of cylindric algebras as algebras of sentences (rather than formulas) of first order logic. We show that the isomorphism types of such algebras of sentences coincide with the class of neat reducts of cylindric a