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Characterizing regular posemirings by ordered high-(quasi,bi)-ideals | ||
| Caspian Journal of Mathematical Sciences | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 31 خرداد 1404 | ||
| نوع مقاله: Research Articles | ||
| شناسه دیجیتال (DOI): 10.22080/cjms.2025.28216.1734 | ||
| نویسندگان | ||
| mohammadmahdi shamivand* 1؛ Ahmad Shahsavaran2 | ||
| 1Department of mathematics, Borujerd branch, Islamic azd university, Borujerd, Iran | ||
| 2Department of Mathematics, Borujerd Branch, Islamic Azad University, Borujerd, Iran | ||
| تاریخ دریافت: 26 آذر 1403، تاریخ بازنگری: 29 بهمن 1403، تاریخ پذیرش: 14 خرداد 1404 | ||
| چکیده | ||
| In this paper, we study the notions of an ordered high-quasi-ideal and ordered high-bi-ideal of a posemiring and show that ordered high-quasi-ideals and ordered high-bi-ideals coincide in regular posemirings. Then we give characterizations of regular posemirings, regular duo-posemirings and left(right) regular posemirings by their high-quasi-ideals and high-bi-ideals. | ||
| کلیدواژه‌ها | ||
| Posemiring؛ Regular؛ High-quasi-ideal؛ High-bi-ideal | ||
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آمار تعداد مشاهده مقاله: 58 |
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