Abstract
The concept of forceable weak eGE-algebras is introduced, and its associated properties are investigated. The structure of GE-filters in the GE-algebras derived from weak eGE-algebras is discussed. The relationship between an eGE-algebra and a forceable weak eGE-algebra is considered, and the characterization of an eGE-filter in weak eGE-algebras is established. Using eGE-filter in forceable weak eGE-algebras, an equivalence relation is induced, and then the quotient set is constructed. A binary operation is given on the quotient set to create a quotient GE-algebra, and an example is given to illustrate it.
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The authors wish to thank the anonymous reviewers for their valuable suggestions.
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Bandaru, R., Shaik, M.K. & Jun, Y.B. Forceable weak eGE-algebras and quotient GE-algebras. Afr. Mat. 33, 54 (2022). https://doi.org/10.1007/s13370-022-00989-8
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DOI: https://doi.org/10.1007/s13370-022-00989-8