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 GE-filter Expansions in GE-algebras

Young Bae Jun (1) and Ravikumar Bandaru (2)

(1) Department of Mathematics Education, Gyeongsang National University, Jinju 52828, Korea

Email address: skywine@gmail.com

 

(2) Department of Mathematics, GITAM (Deemed to be University), Hyderabad Campus, Telangana-502329, India

Email address: ravimaths83@gmail.com

Doi : https://doi.org/10.47013/15.4.24

Cited by : Jordan J. Math & Stat., 15 (4B) (2022), 1153 - 1171

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Received on: Nov. 15, 2021;                                          Accepted on: March 8, 2022

 Abstract. The notions of GE-filter expansion and ξ-primary GE-filter are introduced and their properties are investigated. Different ways to create a GE-filter expansion are provided. The notion of good GE-filter expansion is introduced and its properties investigated. The conditions for an image and an inverse image of a ξ-primary GE-filter of a GE-algebra to be a ξ-primary GE-filter are provided.

Keywords: (int-preserving, good) GE-filter expansion, (first, second) ξ-primary.