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This article is cited in 4 scientific papers (total in 4 papers)
Algebras with identical algebraic sets
A. G. Pinus Novosibirsk State Technical University, pr. Marksa 20, Novosibirsk, 630092, Russia
Abstract:
We look into the relationship between the so-called additive universal algebras $\mathfrak A_0=\langle A;\sigma_0\rangle$ and $\mathfrak A_1=\langle A;\sigma_1\rangle$ with common universe $A$ having the same algebraic sets ($\operatorname{Alg}_n\mathfrak A_0=\operatorname{Alg}_n\mathfrak A_1$ for any $n\in\omega$) and subalgebras ($\operatorname{Sub}\mathfrak A_0=\operatorname{Sub}\mathfrak A_1$).
Keywords:
algebraic geometry of universal algebras, algebraic set, additive universal algebra.
Received: 10.08.2014
Citation:
A. G. Pinus, “Algebras with identical algebraic sets”, Algebra Logika, 54:4 (2015), 493–502; Algebra and Logic, 54:4 (2015), 316–322
Linking options:
https://www.mathnet.ru/eng/al706 https://www.mathnet.ru/eng/al/v54/i4/p493
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Abstract page: | 198 | Full-text PDF : | 28 | References: | 32 | First page: | 9 |
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