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Uniqueness of algebraic unitizations of generalized pseudo effect algebras

Journal of Discrete Mathematical Sciences and Cryptography, 2019
AbstractWe study the uniqueness of the algebraic unitizations of a generalized pseudo effect algebra (GPEA).
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Riesz ideals in generalized effect algebras and in their unitizations

Algebra universalis, 2007
We show that quotients of generalized effect algebras by Riesz ideals preserve some important special properties, e.g., homogeneity and hereditary Riesz decomposition properties; moreover, quotients of generalized orthoalgebras, weak generalized orthomodular posets, generalized orthomodular lattices and generalized MV-algebras with respect to Riesz ...
S. Pulmannová, E. Vinceková
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$\mathcal{PT}$ -Symmetry in (Generalized) Effect Algebras

International Journal of Theoretical Physics, 2010
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Finitely generated varieties of distributive effect algebras

Algebra universalis, 2013
Effect algebras are partially defined algebras, \(E=(E;+,', 0,1)\), which model events of quantum mechanical measurements, and as prototypical examples they are intervals in the positive cone of po-groups. Their basic operation, addition \(+\), is commutative, associative, for every element \(x\) there is a unique element \(x'\) such that \(x+x'=1 ...
Chajda, Ivan, Kühr, Jan
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Top Element Problem and Macneille Completions of Generalized Effect Algebras

Reports on Mathematical Physics, 2014
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Riečanová, Z., Kalina, M.
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Subalgebras, Intervals, and Central Elements of Generalized Effect Algebras

International Journal of Theoretical Physics, 1999
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Effective Properties of Finitely Generated R.E. Algebras

1995
In this paper we are interested in the properties of finitely generated r.e. structures. Well-known examples of such structures are finitely presented groups, rings, etc. The class of r.e. structures is a very natural class which contains the class of recursive structures.
Bakhadyr Khoussainov, Anil Nerode
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A generalization of the algebraic approach for effective interactions in nuclei

Nuclear Physics A, 1973
Abstract We generalize the algebraic approach of Schucan and Weidenmuller for effective interactions in nuclei and show that in general one obtains an effecti to that of Brandow by an arbitrary similarity transformation.
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Congruences generated by ideals of the compatibility center of lattice effect algebras

Soft Computing, 2012
In this paper it is proved that for every lattice effect algebra the system of all congruences generated by the prime ideals of the compatibility center separates the elements. This is a common generalization of Chag's representation theorem from 1950 and a result of \textit{W. H. Graves} and \textit{S. A. Selesnick} [Colloq. Math.
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Generalization of Blocks for D-Lattices and Lattice-Ordered Effect Algebras

International Journal of Theoretical Physics, 2000
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