A Categorical Equivalence Motivated by Kalman’s Construction

Sagastume, Marta Susana et al · Kluwer Academic Publishers · 2016

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Author / responsible party

Sagastume, Marta Susana et al

Publisher

Kluwer Academic Publishers

Year

2016

ISSN

0039-3215

ISSN

0039-3215

Language

English

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An equivalence between the category of MV-algebras and the category (Formula presented.) is given in Castiglioni et al. (Studia Logica 102(1):67–92, 2014). An integral residuated lattice with bottom is an MV-algebra if and only if it satisfies the equations (Formula presented.) and (Formula presented.). An object of (Formula presented.) is a residuated lattice which in particular satisfies some equations which correspond to the previous equations. In this paper we extend the equivalence to the category whose objects are pairs (A, I), where A is an MV-algebra and I is an ideal of A. Fil: Sagastume, Marta Susana. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matemáticas; Argentina Fil: San Martín, Hernán Javier. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matemáticas; Argentina

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APA 7

Sagastume, M. S. E. A. (2016). A Categorical Equivalence Motivated by Kalman’s Construction. http://hdl.handle.net/11336/54338

MLA

Sagastume, Marta Susana et al. "A Categorical Equivalence Motivated by Kalman’s Construction." 2016. http://hdl.handle.net/11336/54338.

Chicago

Sagastume, Marta Susana et al. 2016. "A Categorical Equivalence Motivated by Kalman’s Construction.". http://hdl.handle.net/11336/54338.

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Sagastume, M. S. E. A. 2016, A Categorical Equivalence Motivated by Kalman’s Construction, Kluwer Academic Publishers, available at: http://hdl.handle.net/11336/54338 [Accessed 8 Aug. 2026].

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Title: A Categorical Equivalence Motivated by Kalman’s Construction

Author / contributors: Sagastume, Marta Susana et al

Publisher: Kluwer Academic Publishers

Publication year: 2016

ISSN: 0039-3215

ISSN: 0039-3215

Language: English

Subjects

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Adjunction; Categorical Equivalence; Ideals; Mv-Algebras; https://purl.org/becyt/ford/1.1; https://purl.org/becyt/ford/1