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|Title:||Unary enhancements of inherently non-finitely based semigroups|
Pervukhina, T. V.
Volkov, M. V.
|Publisher:||Springer New York LLC|
|Citation:||Unary enhancements of inherently non-finitely based semigroups / K. Auinger, I. Dolinka, T. V. Pervukhina, et al. — DOI 10.1007/s00233-013-9509-4 // Semigroup Forum. — 2014. — Vol. 89. — Iss. 1. — P. 41-51.|
|Abstract:||This paper is a follow up of an article published in 2012 by three of the authors, more precisely, of a part of that article dealing with inherently nonfinitely based involutory semigroups. We exhibit a simple condition under which a finite involutory semigroup whose semigroup reduct is inherently nonfinitely based is also inherently nonfinitely based as a unary semigroup. As applications, we get already known as well as new examples of inherently nonfinitely based involutory semigroups. We also show that for finite regular semigroups, our condition is not only sufficient but also necessary for the property of being inherently nonfinitely based to persist. This leads to an algorithmic description of regular inherently nonfinitely based involutory semigroups. © 2013, Springer Science+Business Media New York.|
|Keywords:||INHERENTLY NONFINITELY BASED SEMIGROUP|
TWISTED BRANDT MONOID
|Appears in Collections:||Научные публикации, проиндексированные в SCOPUS и WoS CC|
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