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.
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.
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 (2011)
Discussiones Mathematicae - General Algebra and Applications
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We investigate maximal ideals of pseudo-BCK-algebras and give some characterizations of them.
Anatolij Dvurečenskij (2004)
Mathematica Slovaca
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Young Bae Jun, Hee Sik Kim, J. Neggers (2006)
Matematički Vesnik
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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.
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.
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.
Besnard, F. (2001)
Mathematical Physics Electronic Journal [electronic only]
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Akbar Rezaei, Arsham Borumand Saeid, Andrzej Walendziak (2017)
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
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The notions of a dual pseudo-Q algebra and a dual pseudo-QC algebra are introduced. The properties and characterizations of them are investigated. Conditions for a dual pseudo-Q algebra to be a dual pseudo-QC algebra are given. Commutative dual pseudo-QC algebras are considered. The interrelationships between dual pseudo-Q/QC algebras and other pseudo algebras are visualized in a diagram.
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...
Walendziak, Andrzej (2011)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Andrzej Walendziak (2017)
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica
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Basic properties of branches of pseudo-BCH algebras are described. Next, the concept of a branchwise commutative pseudo-BCH algebra is introduced. Some conditions equivalent to branchwise commutativity are given. It is proved that every branchwise commutative pseudo-BCH algebra is a pseudo-BCI algebra.