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Solutions to Some Open Problems on Totally Ordered Monoids
monoids posed in Evans et al. (2001, Semigroup forum, 62, 249-278) [4] are presented. By an ordered monoid, we always mean a totally ordered monoid. All the problems are related tothe class of ordered commutative monoi...
BA - Obecná matematika
- 2010 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
On graphs with a given endomorphism monoid
For special classes of finite monoids (e.g. groups, semilattices, normal bands) it is given an upper bound of size of graphs representing monoids from this class as an endomorphism monoid of graphs....
BA - Obecná matematika
- 2009 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Local bounded commutative residuated l-monoids,
Bounded commutative lattice ordered monoids (Rl-monoids) are a common generalizations of, e.g., BL-algebras and Heyting algebra. In the paper, the properties of local and perfect bounded commutative Rl-monoids are investiga...
BA - Obecná matematika
- 2007 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Direct decompositions of dually residuated latrice ordered monoids
In the paper, direct products and decompositions of DRl-monoids are studied and ideals of DRl-monoids which are direct factors are characterized....
BA - Obecná matematika
- 2004 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Actions of monoids of nonnegative integers through certain quadratic functions
In the paper is investigeted actions of monoids of nonnegative integers through certain quadratic functions...
BA - Obecná matematika
- 2006 •
- D
Rok uplatnění
D - Stať ve sborníku
On the number of graphs with a given endomorphism monoid
For a given finite monoid M the estimates on the number of graphs on n vertices with endomorphism monoid isomorphic to M are given.
BA - Obecná matematika
- 2010 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Representable dually residuated lattice-ordered monoids
Dually residuated lattice-ordered monoids generalize lattice-ordered groups necessary and sufficient conditions for a DRl-monoid to be representable (i.e. a subdirect product of totally ordered DRl-monoids) and we prove tha...
BA - Obecná matematika
- 2003 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Remarks on ideals in lower-bounded dually residuated lattice-ordered monoids
Lattice-ordered groups, as well as GMV-algebras (pseudo MV-algebras), are both particularcases of dually residuated lattice-ordered monoids (DRl-monoids for short).In the paper we study ideals of lower-bounded DRl-monoids i...
BA - Obecná matematika
- 2004 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Finite-valued dually residuated lattice-ordered monoids
We study values in dually residuated lattice-ordered monoids (DRl-monoids) especially if the ideal lattice is a member of the class IRN of algebraic distributive lattices whose compact elemets form a relatively normal sublattice, an...
BA - Obecná matematika
- 2006 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Perfect residuated lattice ordered monoids
Bounded residuated l-monoids (Rl-monoids) form a large subclass of the class of residuated lattices which contains certain algebras of fuzzy and intuitionistic logics. In the paper, bipartite, local and perfect Rl-monoids a...
BA - Obecná matematika
- 2010 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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