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Start Over Creator Vinceková, Elena

1. Congruences and ideals in lattice effect algebras as basic algebras

Creator:
Pulmannová, Sylvia and Vinceková, Elena
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
basic algebra, effect algebra, ideal, and convergence
Language:
English
Description:
Effect basic algebras (which correspond to lattice ordered effect algebras) are studied. Their ideals are characterized (in the language of basic algebras) and one-to-one correspondence between ideals and congruences is shown. Conditions under which the quotients are OMLs or MV-algebras are found.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

2. New operations on partial abelian monoids defined by preideals

Creator:
Vinceková, Elena
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
partial abelian monoid, generalized effect algebra, preideal, Riesz decomposition property, and central element
Language:
English
Description:
We consider partial abelian monoids, in particular generalized effect algebras. From the given structures, we construct new ones by introducing a new operation ⊕, which is given by restriction of the original partial operation + with respect to a special subset called . We bring some derived properties and characterizations of these new built structures, supporting the results by illustrative examples.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

3. Remarks on effect-tribes

Creator:
Pulmannová, Sylvia and Vinceková, Elena
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
effect tribe, tribe, monotone σ-complete effect, effect algebra, Riesz decomposition property, and MV-algebra
Language:
English
Description:
We show that an effect tribe of fuzzy sets T⊆[0,1]X with the property that every f∈T is B0(T)-measurable, where B0(T) is the family of subsets of X whose characteristic functions are central elements in T, is a tribe. Moreover, a monotone σ-complete effect algebra with RDP with a Loomis-Sikorski representation (X,T,h), where the tribe T has the property that every f∈T is B0(T)-measurable, is a σ-MV-algebra.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public