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(Positive) implicative SBE-filters of SBE-algebras | ||
| Caspian Journal of Mathematical Sciences | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 18 فروردین 1405 | ||
| نوع مقاله: Research Articles | ||
| شناسه دیجیتال (DOI): 10.22080/cjms.2026.31181.1812 | ||
| نویسندگان | ||
| Ravikumar Bandaru1؛ T Oner2؛ Arsham Borumand Saied* 3؛ Y. B Jun4 | ||
| 11Department of Mathematics, School of Advanced Sciences, VIT-AP University, Andhra Pradesh, India. | ||
| 2Department of Mathematics, Ege University, Izmir, Turkey. | ||
| 3Bahonar Kerman | ||
| 4Department of Mathematics Education, Gyeongsang National University, Jinju, Korea. | ||
| تاریخ دریافت: 13 بهمن 1404، تاریخ بازنگری: 01 فروردین 1405، تاریخ پذیرش: 09 فروردین 1405 | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Sheffer stroke BE-algebras (SBE-algebras)؛ SBE-filters؛ Implicative SBE-algebras؛ implicative SBE-filters | ||
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آمار تعداد مشاهده مقاله: 15 |
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