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BORDERED GE-ALGEBRAS

- Authors
- Bandaru, R.K.; Öztürk, M.A.; Jun, Y.B.

- Issue Date
- Sep-2024

- Publisher
- Shahrood University of Technology

- Keywords
- (Commutative, transitive, antisymmetric) bordered GE-algebra; Duplex bordered GE-algebra, Cross bordered GE-algebra

- Citation
- Journal of Algebraic Systems, v.12, no.1, pp 43 - 58

- Pages
- 16

- Indexed
- SCOPUS

- Journal Title
- Journal of Algebraic Systems

- Volume
- 12

- Number
- 1

- Start Page
- 43

- End Page
- 58

- ISSN
- 2345-511X

- Abstract
- The notions of (transitive, commutative, antisymmet-ric) bordered GE-algebras are introduced, and their properties are investigated. Relations between a bordered GE-algebra and a bounded Hilbert algebra are stated, and the conditions under which every bordered GE-algebra (resp., bounded Hilbert algebra) can be a bounded Hilbert algebra (resp., bordered GE-algebra) are found. The concept of duplex bordered GE-algebras is introduced, and its properties are investigated. Relations between an antisym-metric bordered GE-algebra and a duplex bordered GE-algebra are discussed, and the conditions under which an antisymmetric bordered GE-algebra can be a duplex GE-algebra are established. A characterization of a duplex bordered GE-algebra is provided. A new bordered GE-algebra called cross bordered GE-algebra which is wider than duplex bordered GE-algebra is introduced, and its properties are investigated. Relations between a duplex bordered GE-algebra and a cross bordered GE-algebra are considered. © 2024, Shahrood University of Technology. All rights reserved.

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