(Positive) implicative SBE-filters of SBE-algebras

Bandaru, Ravikumar; Oner, T; Borumand Saied, Arsham; Jun, Y. B

doi:10.22080/cjms.2026.31181.1812

(Positive) implicative SBE-filters of SBE-algebras

Document Type : Research Articles

Authors

¹ 1Department of Mathematics, School of Advanced Sciences, VIT-AP University, Andhra Pradesh, India.

² Department of Mathematics, Ege University, Izmir, Turkey.

³ Bahonar Kerman

⁴ Department of Mathematics Education, Gyeongsang National University, Jinju, Korea.

10.22080/cjms.2026.31181.1812

Abstract

This study presents a comprehensive exploration of Sheffer stroke BE-algebras
(SBE-algebras), delving into fundamental concepts, definitions, and associated
results. We introduce the concept of transitive SBE-algebras, examining their
properties and characterizing SBE-filters. Additionally, implicative SBE-filters
are introduced, demonstrating their equivalence to SBE-filters and exploring
their fundamental properties on transitive SBE-algebras. Moreover, the concept
of positive implicative SBE-filters is introduced and its equivalence with both
SBE-filters and implicative SBE-filters is established on transitive SBE-algebras.

Keywords

Main Subjects