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Mathematical logic, algebra and number theory
On the elementary geometry of universal algebras and on the equivalence of clones relative to this geometry
A. G. Pinus Novosibirsk State Technical University,
pr. K. Marx, 20,
630073, Novosibirsk, Russia
Abstract:
We study the elementary closure operation on subsets of universal algebras induced by elementary geometries of this algebras along with the equivalence relation on functional clones with respect to the equality of their elementary geometries.
Keywords:
elementary types, elementary geometries of algebras, functional clones.
Received April 19, 2017, published March 21, 2018
Citation:
A. G. Pinus, “On the elementary geometry of universal algebras and on the equivalence of clones relative to this geometry”, Sib. Èlektron. Mat. Izv., 15 (2018), 332–337
Linking options:
https://www.mathnet.ru/eng/semr921 https://www.mathnet.ru/eng/semr/v15/p332
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