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A general view of the algebraic semantic...

Lapenta, Serafina...

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A general view of the algebraic semantics of \L ukasiewicz logic with product by Lapenta, Serafina ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	06-09-2023
Summary	This paper aims at connecting the various classes that provide an algebraic semantics for three different conservative expansions of Lukasiewicz logic, using algebraic and category-theoretical techniques. We connect such classes of algebras by adjunctions, using the tensor product of MV-algebras and defining the tensor PMV-algebra of a semisimple MV-algebra, inspired by the construction of the tensor algebra of a vector space. We further apply the main results to prove amalgamation properties and, via categorical equivalence, we transfer all results to the framework of lattice- ordered groups.
ISBN	-
Item Type	Article
File Type	pdf
File Size	29.34 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1411.4987

Citation

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AMA 11th EditionReferences

Lapenta, Serafina. A general view of the algebraic semantics of \L ukasiewicz logic with product. Australian National University. September 06, 2023. Accessed September 20, 2024. https://online.provdatabase.com/cite/23884

APA 7th EditionReferences

Lapenta, Serafina. (2023). A general view of the algebraic semantics of \L ukasiewicz logic with product. Australian National University. https://online.provdatabase.com/cite/23884

Chicago 17th EditionReferences

Lapenta, Serafina. A general view of the algebraic semantics of \L ukasiewicz logic with product. Australian National University. 2023. https://online.provdatabase.com/cite/23884

HarvardReferences

Lapenta, Serafina. (2023). A general view of the algebraic semantics of \L ukasiewicz logic with product. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/23884. (Accessed 20 September 2024).

Harvard AustraliaReferences

Lapenta, Serafina, 2023, A general view of the algebraic semantics of \L ukasiewicz logic with product, Australian National University, viewed 20 September 2024, <https://online.provdatabase.com/cite/23884>

MLA 9th EditionWorks Cited

Lapenta, Serafina. A general view of the algebraic semantics of \L ukasiewicz logic with product. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/23884.

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