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On Quasi Generalized Exchange Algebras
- Issue Date
- Jan-2024
- Publisher
- EUROPEAN JOURNAL PURE & APPLIED MATHEMATICS
- Keywords
- Quasi GE-algebra(qGE-algebra); qGE-subalgebra; (strong, closed) qGE-filter
- Citation
- European Journal of Pure and Applied Mathematics, v.17, no.1, pp 569 - 581
- Pages
- 13
- Indexed
- SCOPUS
ESCI
- Journal Title
- European Journal of Pure and Applied Mathematics
- Volume
- 17
- Number
- 1
- Start Page
- 569
- End Page
- 581
- ISSN
- 1307-5543
- Abstract
- A new type of algebraic structure, called a quasi generalized exchange algebra(qGEalgebra), with the GE-algebra conditions is introduced and its properties are investigated. The concepts of qGE-subalgebra, qGE-filter, closed qGE-filter and strong qGE-filter of a quasi GEalgebra are introduced and their relationships are discussed. The conditions for a subset of a quasi GE-algebra to be a qGE-filter are given.
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