Andrzej Walendziak (2016)
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica
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In this paper we introduce the notion of a disjoint union of pseudo-BCH-algebras and describe ideals in such algebras. We also investigate ideals of direct products of pseudo-BCH-algebras. Moreover, we establish conditions for the set of all minimal elements of a pseudo-BCH-algebra X to be an ideal of X.
Andrzej Walendziak (2016)
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
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In this paper we define strong ideals and horizontal ideals in pseudo-BCH-algebras and investigate the properties and characterizations of them.
Anatolij Dvurečenskij (2004)
Mathematica Slovaca
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Habib Harizavi, Tayebeh Koochakpoor, Rajab Ali Boorzoei (2013)
Discussiones Mathematicae - General Algebra and Applications
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In this paper, we first investigate some properties of the hyper pseudo BCK-algebras. Then we define the concepts of strong and reflexive hyper pseudo BCK-ideals and establish some relationships among them and the other types of hyper pseudo BCK-ideals. Also, we introduce the notion of regular congruence relation on hyper pseudo BCK-algebras and investigate some related properties. By using this relation, we construct the quotient hyper pseudo BCK-algebra and give some related results. ...
Andrzej Walendziak (2015)
Discussiones Mathematicae - General Algebra and Applications
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The notion of pseudo-BCH-algebras is introduced, and some of their properties are investigated. Conditions for a pseudo-BCH-algebra to be a pseudo-BCI-algebra are given. Ideals and minimal elements in pseudo-BCH-algebras are considered.
Young Bae Jun, Hee Sik Kim, J. Neggers (2006)
Matematički Vesnik
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Anatolij Dvurečenskij (2006)
Czechoslovak Mathematical Journal
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We give two variations of the Holland representation theorem for -groups and of its generalization of Glass for directed interpolation po-groups as groups of automorphisms of a linearly ordered set or of an antilattice, respectively. We show that every pseudo-effect algebra with some kind of the Riesz decomposition property as well as any pseudo -algebra can be represented as a pseudo-effect algebra or as a pseudo -algebra of automorphisms of some antilattice or of some linearly ordered...
Anatolij Dvurečenskij (2004)
Kybernetika
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Grzegorz Dymek (2015)
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica
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The notion of normal pseudo-BCI-algebras is studied and some characterizations of it are given. Extensions of pseudo-BCI-algebras are also considered.
Grzegorz Dymek (2015)
Annales UMCS, Mathematica
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The notion of normal pseudo-BCI-algebras is studied and some characterizations of it are given. Extensions of pseudo-BCI-algebras are also considered.
Magdalena Wojciechowska-Rysiawa (2010)
Discussiones Mathematicae - General Algebra and Applications
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Pseudo BL-algebras are a noncommutative extention of BL-algebras. In this paper we study good pseudo BL-algebras and consider some classes of these algebras.
W. Żelazko (2004)
Studia Mathematica
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We prove that a real or complex unital F-algebra is a Q-algebra if and only if all its maximal one-sided ideals are closed.