We give an indicator characterization of involution semigroup varieties consisting of involution semilattices of Archimedean semigroups. As a consequence, we describe identities which induce such a structure on an involution semigroup. This description is made explicit for the one-variable case.
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Univ Novi Sad, Dept Math & Informat, Novi Sad, SerbiaUniv Novi Sad, Dept Math & Informat, Novi Sad, Serbia
Dolinka, Igor
Gusev, Sergey V.
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Ural Fed Univ, Inst Nat Sci & Math, Ekaterinburg, RussiaUniv Novi Sad, Dept Math & Informat, Novi Sad, Serbia
Gusev, Sergey V.
Volkov, Mikhail V.
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Ural Fed Univ, Inst Nat Sci & Math, Ekaterinburg, Russia
Ural Fed Univ, Inst Nat Sci & Math, Ekaterinburg 620000, RussiaUniv Novi Sad, Dept Math & Informat, Novi Sad, Serbia