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Fundamentalnaya i Prikladnaya Matematika, 2013, Volume 18, Issue 3, Pages 3–9
(Mi fpm1512)
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This article is cited in 1 scientific paper (total in 1 paper)
Two examples of diagonal bi-acts
T. V. Apraksina, I. Barkov, I. B. Kozhukhov National Research University of Electronic Technology, Moscow, Russia
Abstract:
An example of a right cancellative semigroup is constructed such that the diagonal bi-act of this semigroup is cyclic. Moreover, it is proved that every semigroup can be isomorphically embedded into a semigroup such that its diagonal bi-act of second order is cyclic, but the diagonal bi-act of third order is not finitely generated.
Citation:
T. V. Apraksina, I. Barkov, I. B. Kozhukhov, “Two examples of diagonal bi-acts”, Fundam. Prikl. Mat., 18:3 (2013), 3–9; J. Math. Sci., 206:5 (2015), 457–461
Linking options:
https://www.mathnet.ru/eng/fpm1512 https://www.mathnet.ru/eng/fpm/v18/i3/p3
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