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Sibirskii Matematicheskii Zhurnal, 2014, Volume 55, Number 2, Pages 350–363
(Mi smj2538)
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This article is cited in 4 scientific papers (total in 4 papers)
Hyperidentities of quasilinear clones on the three-element set
I. A. Malcevab a Sobolev Institute of Mathematics, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
Abstract:
Under study is the possibility of distinguishing by formulas the clones of quasilinear functions on the three-element set. We find a distinguishing formula for every pair of the nonisomorphic clones of this type without creative functions and indicate the pairs of clones indistinguishable by hyperidentities with unary function variables.
Keywords:
hyperidentity, quasilinear function, clone, clone identity, preiterative algebra, distinguishing formula.
Received: 30.12.2013
Citation:
I. A. Malcev, “Hyperidentities of quasilinear clones on the three-element set”, Sibirsk. Mat. Zh., 55:2 (2014), 350–363; Siberian Math. J., 55:2 (2014), 284–295
Linking options:
https://www.mathnet.ru/eng/smj2538 https://www.mathnet.ru/eng/smj/v55/i2/p350
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Abstract page: | 305 | Full-text PDF : | 88 | References: | 72 | First page: | 5 |
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