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Soft Computing, 2020
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Ali Akbar Estaji +2 more
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Ali Akbar Estaji +2 more
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CATEGORIES STRUCTURALLY EQUIVALENT TO CATEGORIES OF ALGEBRAS
Mathematics of the USSR-Sbornik, 1970The conditions are investigated for an arbitrary category to be structurally equivalent in the sense of Mal'cev to a class of universal algebras closed with respect to one or another algebraic construction. Conditions are determined under which the operations of the algebras can be taken to be finitary. Bibliography: 9 entries.
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Model Categories in Algebraic Topology
Applied Categorical Structures, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Categories with algebraic structure
1998We give an exposition of a unified study of categories with extra structure that arise in computer science and mathematics. We consider several examples of structures that arise, showing that with a precise formulation of the notion of category with algebraic structure, they are categories with algebraic structure.
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Slices of Essentially Algebraic Categories
Applied Categorical Structures, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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2003
The aim of this note is to make the reader familiar with the notion of algebraic category. The approach we use is based on Lawvere’s pioneering work where the notions of algebraic theory and algebraic category are introduced as invariant formulations of Birkhoff’s universal algebra.
PEDICCHIO, MARIA CRISTINA, F. ROVATTI
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The aim of this note is to make the reader familiar with the notion of algebraic category. The approach we use is based on Lawvere’s pioneering work where the notions of algebraic theory and algebraic category are introduced as invariant formulations of Birkhoff’s universal algebra.
PEDICCHIO, MARIA CRISTINA, F. ROVATTI
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Algebraic Exponentiation in General Categories
Applied Categorical Structures, 2011Let \(\mathcal C\) be a category with pullbacks. The category \(\mathbf{Pt}(B)\) of points of an object \(B\) of \(\mathcal C\) is the comma category \((\mathrm{id}_B/(\mathcal C/B))\). The category \(\mathcal C\) is locally Cartesian closed if and only if for every morphism \(p: E \to B\) of \(\mathcal C\), the induced pullback \(p^*: (\mathcal C/B ...
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The Category of Semi-BCI Algebras
2018This paper introduces briefly the notion of SBCI algebras and its role as candidate to model Fuzzy and Interval Fuzzy Logics. Its main goal is to provide how such algebraic structures behaves from the categorical theoretical standpoint.
Jocivania Pinheiro +2 more
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Category Algebra and Algebraic Theories
1994A variety of algebras is specified by a collection of symbols of ground operations and a collection of identities. Similarly, one may speak of syntactic specification of other algebraic theories. In this chapter we point out another approach to description of algebraic theories, grounded on categorial ideas.
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Direct decomposition in algebraic categories.
1959Ziel der vorliegenden Arbeit ist es, die Theorie der direkten Zerlegungen von algebraischen Strukturen, speziell von Gruppen, axiomatisch zu behandeln. Zu diesem Zweck wird der Begriff der Eilenberg-MacLaneschen Kategorie [Trans. Am. Math. Soc. 58, 231--294 (1945; Zbl 0061.09204)] spezialisiert.
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