Add to ORKGsummary:The concept of a basic pseudoring is introduced. It is shown that every orthomodular lattice can be converted into a basic pseudoring by using of the term operation called Sasaki projection. It is given a mutual relationship between basic algebras and basic pseudorings. There are characterized basic pseudorings which can be converted into othomodular lattices
We introduce residuated ortholattices as a generalization of—and environment for the investigation o...
summary:It is proved that orthomodular posets are in a natural one-to-one correspondence with certai...
summary:The aim of this paper is to transfer the concept of pseudocomplement from lattices to ordere...
summary:The concept of a basic pseudoring is introduced. It is shown that every orthomodular lattice...
With the emergence of quantum mechanics early in this last century, the demand for a mathematical fo...
In order to represent lattice pseudoeffect algebras, a non-commutative generalization of lattice eff...
Pseudo-hoops are algebraic structures introduced in [1, 2] by B. Bosbach under the name of complemen...
We prove that a p.q.-Baer *-ring forms a pseudo lattice with Conrad’s partial order and also charact...
The statical part of quantum logic can be described by projections on a Hilbert space, or more ab-st...
Summary. The main result of the article is the solution to the problem of short axiomatizations of o...
AbstractM.F. Janowitz defined a generalized orthomodular lattice [GOM-lattice, GOML] as a lattice wi...
summary:We show that every pseudocomplemented poset can be equivalently expressed as a certain algeb...
summary:We prove that a certain identity introduced by R. Halaš for classifying basic algebras can b...
Abstract. We present a method of constructing an orthomodular poset from a relation algebra. This te...
AbstractAbstracting from certain properties of the implication operation in Boolean algebras leads t...
We introduce residuated ortholattices as a generalization of—and environment for the investigation o...
summary:It is proved that orthomodular posets are in a natural one-to-one correspondence with certai...
summary:The aim of this paper is to transfer the concept of pseudocomplement from lattices to ordere...
summary:The concept of a basic pseudoring is introduced. It is shown that every orthomodular lattice...
With the emergence of quantum mechanics early in this last century, the demand for a mathematical fo...
In order to represent lattice pseudoeffect algebras, a non-commutative generalization of lattice eff...
Pseudo-hoops are algebraic structures introduced in [1, 2] by B. Bosbach under the name of complemen...
We prove that a p.q.-Baer *-ring forms a pseudo lattice with Conrad’s partial order and also charact...
The statical part of quantum logic can be described by projections on a Hilbert space, or more ab-st...
Summary. The main result of the article is the solution to the problem of short axiomatizations of o...
AbstractM.F. Janowitz defined a generalized orthomodular lattice [GOM-lattice, GOML] as a lattice wi...
summary:We show that every pseudocomplemented poset can be equivalently expressed as a certain algeb...
summary:We prove that a certain identity introduced by R. Halaš for classifying basic algebras can b...
Abstract. We present a method of constructing an orthomodular poset from a relation algebra. This te...
AbstractAbstracting from certain properties of the implication operation in Boolean algebras leads t...
We introduce residuated ortholattices as a generalization of—and environment for the investigation o...
summary:It is proved that orthomodular posets are in a natural one-to-one correspondence with certai...
summary:The aim of this paper is to transfer the concept of pseudocomplement from lattices to ordere...