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Ideal theory of pre-logics based on the theory of falling shadows
- Issue Date
- 2018
- Publisher
- Eudoxus Press, LLC
- Keywords
- Falling ideal; Falling shadow; Falling subalgebra; Positive implicative falling ideal
- Citation
- Journal of Computational Analysis and Applications, v.24, no.4, pp 744 - 751
- Pages
- 8
- Indexed
- SCOPUS
- Journal Title
- Journal of Computational Analysis and Applications
- Volume
- 24
- Number
- 4
- Start Page
- 744
- End Page
- 751
- ISSN
- 1521-1398
1572-9206
- Abstract
- Based on the theory of a falling shadow which was first formulated by Wang [8], a theoretical approach of the ideal structure in pre-logics is established. The notions of a falling subalgebra, a falling and a positive implicative falling ideal of a pre-logic are introduced. Some fundamental properties are investigated. Relations among a falling subalgebra, a falling ideal and a positive implicative falling ideal are stated. Characterizations of falling deals and positive implicative falling ideals are discussed. © 2018 by Eudoxus Press, LLC. All rights reserved.
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Related Researcher
- Ahn, Sun Shin
- College of Education (Department of Mathematics Education)