This overview is an introduction to the basic constructive algebraic structures with apartness with special emphasises on a set and semigroup with apartness. The main purpose of this paper, inspired by Bauer [ 2 ], is to make some sort of understanding of constructive algebra in Bishop's style...
An isomorphism between algebraic structures of the same type is commonly defined as a bijective homomorphism. In the more general context of category theorycategory
In light of the sign change above and the isomorphism of Gerstenhaber algebras HH∗ (C∗M) ≅ HH∗ (C∗ΩM) of Felix, Meni...omas Tr... T Tradler,M Zeinalian,D Sullivan - 《Algebraic & Geometric Topology》 被引量: 53发表: 2003年 On Operator Algebras associated with Mono...
Fuzzy homomorphism and algebraic structures The object of this paper is to prove an analogue of the Fundamental Theorem of Homomorphism and the Second Isomorphism Theorem for fuzzy homomorphisms. We ... AB Chakraborty,SS Khare - 《Fuzzy Sets & Systems》 被引量: 28发表: 1993年 Fuzzy ...
structures interact with their computability-theoretic properties. While in algebra and model theory isomorphicstructures are often identif i ed, in computable model theory they canhave very dif f erent algorithmic properties. Here, we study Turing de-grees of algebraic structures from some well-...
2018, Communications in Algebra View all citing articles on Scopus 1 The first author was partially supported by Università di Padova (Progetto ex 60% “Anelli e categorie di moduli”) and Fondazione Cassa di Risparmio di Padova e Rovigo (Progetto di Eccellenza “Algebraic structures and their ...
Being in nature algebraic, homomorphisms generalize to other structures such as relational structures or even more finite models which are specified by a language L. This can be done as follows: Let L be a set containing relational symbols (like R,S,…) and function symbols (like F,f,g,...
The relevance of isomorphism theorems is undoubtable, in all algebraic studies. In fact, in every category of algebraic structures, homomorphisms describe the relationship between objects. However, due to the multivalued nature of hyperstructure algebra, the analysis of isomorphisms on hypermodules is...
(Or "linear transformation") A function from a vector space to a vector space which respects the additive and multiplicative structures of the two: that is, for any two vectors, u, v, in the source vector space and any scalar, k, in the field over which it is a vector space, a lin...
, To H.B. Curry: Essays in Combinatory Logic, Lambda-calculus and Formalism, Academic Press, London (1980) [15] J. Levy An algebraic interpretation of λ-calculus and a labelled λ-calculus A. Böhm (Ed.), λ-calculus and Computer Science, LNCS 37, Springer-Verlag, Berlin (1975), ...