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https://open.uns.ac.rs/handle/123456789/25415
Title: | Finite semigroups with few term operations | Authors: | Crvenkovic Sinisa Dolinka Igor Ruškuc N |
Issue Date: | 2001 | Journal: | Journal of Pure and Applied Algebra | Abstract: | For a semigroup S, pn(S) denotes the number of n-ary term operations of S depending on all their variables. The purpose of this paper is to study finite semigroups S with the property that their pn-sequence p(S)=〈p0(S), p1(S),...〉 is bounded. Such semigroups are described first in terms of identities and then structurally as nilpotent extensions of semilattices, Boolean groups and rectangular bands. As a corollary it is shown that if p(S) is bounded then eventually either pn(S)=0 or 1. It is also shown that there is an effective procedure which decides whether the pn-sequence of a given finite semigroup is bounded or not. © 2001 Elsevier Science B.V. | URI: | https://open.uns.ac.rs/handle/123456789/25415 | ISSN: | 0022-4049 | DOI: | 10.1016/S0022-4049(00)00017-7 |
Appears in Collections: | PMF Publikacije/Publications |
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