The Sheffer stroke operation reducts of basic algebras-Reference-Cited by-同舟云学术

The Sheffer stroke operation reducts of basic algebras

Published:2017-07-13 Issue:1 Volume:15 Page:926-935
ISSN:2391-5455
Container-title:Open Mathematics
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Author:

Oner Tahsin¹,Senturk Ibrahim¹

Affiliation:

1. Department of Mathematics, Ege University, 35100 İzmir, Turkey

Abstract

Abstract In this study, a term operation Sheffer stroke is presented in a given basic algebra 𝒜 and the properties of the Sheffer stroke reduct of 𝒜 are examined. In addition, we qualify such Sheffer stroke basic algebras. Finally, we construct a bridge between Sheffer stroke basic algebras and Boolean algebras.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2017-0075/pdf

Reference56 articles.

1. Short Sheffer Stroke-Based Single Axiom for Boolean Algebras;Formalized Mathematics,1975

2. Bounded lattices with antitone involutions and properties of MV-algebras;Discussiones Mathematicae, General Algebra and Applications,2004

3. Lattice Theory;Proc. Amer. Math. Soc. Providence, R. I,1967

4. Quantum and classical implication algebras with primitive implications;International Journal of Theoretical Physics,1998

5. An implication in orthologic;International Journal of Theoretical Physics,2005

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