Results 251 to 260 of about 28,167 (281)
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2018
A stabilizer is a part of an algebra acting on a set. Specifically, let X be any algebra operating on a set X and let A be a subset of X. The stabilizer of A, sometimes denoted St(A), is the set of elements a of A for which \(a(S)\subseteq S\). The strict stabilizer is the set of \(a\in A\) for which \(a(A) = A\).
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A stabilizer is a part of an algebra acting on a set. Specifically, let X be any algebra operating on a set X and let A be a subset of X. The stabilizer of A, sometimes denoted St(A), is the set of elements a of A for which \(a(S)\subseteq S\). The strict stabilizer is the set of \(a\in A\) for which \(a(A) = A\).
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Commutative pseudo BE-algebras
2016The aim of this paper is to introduce the notion of commutative pseudo BE-algebras and investigate their properties.We generalize some results proved by A. Walendziak for the case of commutative BE-algebras.We prove that the class of commutative pseudo BE-algebras is equivalent to the class of commutative pseudo BCK-algebras.
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2018
The term endomorphism is derived from the Greek adverb endon (“inside”) and morphosis (“to form” or “to shape”). In an algebra, an endomorphism of a group, module, ring, vector space, etc., is a homomorphism from the algebra to itself (with surjectivity not required).
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The term endomorphism is derived from the Greek adverb endon (“inside”) and morphosis (“to form” or “to shape”). In an algebra, an endomorphism of a group, module, ring, vector space, etc., is a homomorphism from the algebra to itself (with surjectivity not required).
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2018
Self-mappings of special kinds are the subjects of many important theories: see, for instance, Lie group, mapping class group, permutation group. In category theory, “map” is often used as a synonym for morphism or arrow, thus for something more general than a function. In formal logic, the term map is sometimes used for a functional predicate, whereas
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Self-mappings of special kinds are the subjects of many important theories: see, for instance, Lie group, mapping class group, permutation group. In category theory, “map” is often used as a synonym for morphism or arrow, thus for something more general than a function. In formal logic, the term map is sometimes used for a functional predicate, whereas
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Variational algorithms for linear algebra
Science Bulletin, 2021Xiaosi Xu, Jinzhao Sun, Suguru Endo
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2018
Several types of algebraic structures have been studied so far in the literature of Mathematics. In abstract algebras, the main emphasis is given to the study of algebraic structures and their properties. Though there are many different views on algebraic structures, the central idea of an algebraic structure is a system involving one or more sets ...
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Several types of algebraic structures have been studied so far in the literature of Mathematics. In abstract algebras, the main emphasis is given to the study of algebraic structures and their properties. Though there are many different views on algebraic structures, the central idea of an algebraic structure is a system involving one or more sets ...
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2018
BE-algebras are important tools for certain investigations in algebraic logic since they can be considered as fragments of any propositional logic containing a logical connective implication and the constant 1 which is considered as the logical value “true.” The notion of BE-algebras was introduced and extensively studied by H.S. Kim and Y.H.
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BE-algebras are important tools for certain investigations in algebraic logic since they can be considered as fragments of any propositional logic containing a logical connective implication and the constant 1 which is considered as the logical value “true.” The notion of BE-algebras was introduced and extensively studied by H.S. Kim and Y.H.
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A survey of numerical linear algebra methods utilizing mixed-precision arithmetic
International Journal of High Performance Computing Applications, 2021Hartwig Anzt +2 more
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