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Record type:	stať ve sborníku (D)
Home Department:	Ústav pro výzkum a aplikace fuzzy modelování (94410)
Title:	Residuated Lattices as Extensions of Elementary Algebraic Structures
Citace	Perfiljeva, I. Residuated Lattices as Extensions of Elementary Algebraic Structures. In: Quantitative Logic and Soft Computing. Singapore: World Scientific, 2012. World Scientific, 2012. s. 581-588. ISBN 978-981-4401-52-4.

Subtitle
Publication year:	2012
Obor:	Obecná matematika
Number of pages:	8
Page from:	581
Page to:	588
Form of publication:	Tištená verze
ISBN code:	978-981-4401-52-4
ISSN code:
Proceedings title:	Quantitative Logic and Soft Computing
Proceedings:	Mezinárodní
Publisher name:	World Scientific
Place of publishing:	Singapore
Country of Publication:	Sborník vydaný v zahraničí
Název konference:	Quantitative logic and soft computing (QL&SC) 2012
Místo konání konference:	Xi'an
Datum zahájení konference:
Typ akce podle státní příslušnosti účastníků:	Celosvětová akce
WoS code:
EID:

Key words in English:	Residuated, commutative $\ell$-monoid; orbit; translation
Annotation in original language:	We prove that each residuated commutative l-monoid is a monoid of all residuated endomorphisms of some universal algebra. This result demonstrates that similarly to groups and semigroups, a monoidal operation of a residuated commutative l-monoid is represented by a composition of endomorphisms that are moreover, residuated.
Annotation in english language:

References

Reference

R01:	RIV/61988987:17610/12:A13013AC

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