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JOURNALS // Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica // Archive

Bul. Acad. Ştiinţe Repub. Mold. Mat., 2011 Number 3, Pages 108–112 (Mi basm296)

Semilattices of $r$-archimedean subdimonoids

Anatolii V. Zhuchok

Department of Mechanics and Mathematics, Kyiv National Taras Shevchenko University, Kyiv, Ukraine

Abstract: We characterize dimonoids which are semilattices of $r$-archimedean ($\ell$-archimedean, $(t;r)$-archimedean) subdimonoids.

Keywords and phrases: dimonoid, semilattice of subdimonoids, semigroup.

MSC: 08B20, 20M10, 20M50, 17A30, 17A32

Received: 17.08.2011

Language: English



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