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3 results on '"Conrado Gomez"'

1. On the relation of negations in Nelson algebras

Author

Conrado Gomez, Miguel Andres Marcos, and Hernan Javier San Martin

Subjects
Mathematics::Logic, Philosophy, Logic, Computer Science::Logic in Computer Science
Abstract

The aim of this paper is to investigate the relation between the strong and the "weak" or intuitionistic negation in Nelson algebras. To do this, we define the variety of Kleene algebras with intuitionistic negation and explore the Kalman's construction for pseudocomplemented distributive lattices. We also study the centered algebras of this variety.

Published
2021

2. Poset product and BL-algebras

Author

Conrado Gomez and Manuela Busaniche

Subjects
0209 industrial biotechnology, Mathematics::Combinatorics, Matemáticas, Logic, 02 engineering and technology, POSET PRODUCT, Matemática Pura, Combinatorics, 020901 industrial engineering & automation, Artificial Intelligence, Product (mathematics), 0202 electrical engineering, electronic engineering, information engineering, 020201 artificial intelligence & image processing, GODEL ALGEBRAS, Mathematics::Representation Theory, Partially ordered set, Indecomposable module, Bl algebras, BL-ALGEBRAS, CIENCIAS NATURALES Y EXACTAS, Mathematics
Abstract

We give sufficient conditions for a BL-algebra to be isomorphic to a poset product of BL-chains which are poset product indecomposable. Fil: Busaniche, Manuela. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; Argentina Fil: Gomez, Conrado Javier. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; Argentina

Published
2020

3. Poset Product and BL-Chains

Author

Manuela Busaniche and Conrado Gomez

Subjects
REPRESENTATION, Mathematics::Combinatorics, Matemáticas, Logic, 010102 general mathematics, Representation (systemics), 02 engineering and technology, 01 natural sciences, POSET PRODUCT, Matemática Pura, Combinatorics, ORDINAL SUM, Graded poset, History and Philosophy of Science, Product (mathematics), 0202 electrical engineering, electronic engineering, information engineering, 020201 artificial intelligence & image processing, Ordinal sum, 0101 mathematics, Computational linguistics, Partially ordered set, CIENCIAS NATURALES Y EXACTAS, BL-CHAINS, Mathematics
Abstract

Different constructions of BL-chains are compared. We establish when the ordinal sum and the poset product of the same family of BL-chains coincide. We also compare the poset product of MV-chains and product chains with saturated BL-chains. Fil: Busaniche, Manuela. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; Argentina Fil: Gomez, Conrado Javier. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; Argentina

Published
2017

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