Počet záznamů: 1

On the Structure of Finite Integral Commutative Residuated Chains

  1. 1.
    0365295 - UIVT-O 2012 RIV GB eng J - Článek v odborném periodiku
    Horčík, Rostislav
    On the Structure of Finite Integral Commutative Residuated Chains.
    Journal of Logic and Computation. Roč. 21, č. 5 (2011), s. 717-728 ISSN 0955-792X
    Výzkumný záměr: CEZ:AV0Z10300504
    Klíčová slova: residuated lattice * ordered residuated monoid * nucleus * conucleus,Abelian lattice-ordered group * free commutative monoid
    Kód oboru RIV: BA - Obecná matematika
    Impakt faktor: 0.611, rok: 2011

    Among the class of finite integral commutative residuated chains (ICRCs), we identify those algebras which can be obtained as a nuclear retraction of a conuclear contraction of a totally ordered Abelian ℓ-group. We call the ICRCs satisfying this condition regular. Then we discuss the structure of finite regular ICRCs. Finally, we prove that the class of regular members generate a strictly smaller variety than the variety generated by ICRCs.
    Trvalý link: http://hdl.handle.net/11104/0200571
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