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Cancellative Residuated Lattices Arising on 2-Generated Submonoids of Natural Numbers
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SYSNO ASEP 0348399 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve WOS Název Cancellative Residuated Lattices Arising on 2-Generated Submonoids of Natural Numbers Tvůrce(i) Horčík, Rostislav (UIVT-O) SAI, RID Zdroj.dok. Algebra Universalis. - : Springer - ISSN 0002-5240
Roč. 63, 2-3 (2010), s. 261-274Poč.str. 14 s. Jazyk dok. eng - angličtina Země vyd. CH - Švýcarsko Klíč. slova residuated lattice ; cancellative commutative residuated lattice ; subvariety lattice ; submonoid of natural numbers Vědní obor RIV BA - Obecná matematika CEP KJB100300701 GA AV ČR - Akademie věd CEZ AV0Z10300504 - UIVT-O (2005-2011) UT WOS 000283085400010 EID SCOPUS 77958463567 DOI 10.1007/s00012-010-0076-1 Anotace It is known that there are only two cancellative atoms in the subvariety lattice of residuated lattices, namely the variety of Abelian l-groups generated by the additive l-group of integers and the variety V generated by the negative cone of this l-group. In this paper we consider all cancellative residuated chains arising on 2-generated submonoids of natural numbers and show that almost all of them generate a cover of V. This proves that there are infinitely many covers above V which are commutative, integral, and representable. Pracoviště Ústav informatiky Kontakt Tereza Šírová, sirova@cs.cas.cz, Tel.: 266 053 800 Rok sběru 2011
Počet záznamů: 1