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Some results on the 2-absorbing primary hyperideals in multiplicative hyperrings | ||
| Caspian Journal of Mathematical Sciences | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 10 آذر 1404 | ||
| نوع مقاله: Research Articles | ||
| شناسه دیجیتال (DOI): 10.22080/cjms.2025.30043.1774 | ||
| نویسنده | ||
| Mohammad Ali Dehghanizadeh* | ||
| Department of Basic Sciences, Technical and Vocational University(TVU), tehran, Iran | ||
| تاریخ دریافت: 21 شهریور 1404، تاریخ بازنگری: 24 مهر 1404، تاریخ پذیرش: 05 آبان 1404 | ||
| چکیده | ||
| The structural investigation of regular prime ideals in the setting of multiplicative hyperrings constitutes a profound and evolving area within hyperstructure theory. This domain not only enhances the theoretical foundation of hyperalgebra but also provides a versatile framework for interpreting and generalizing classical algebraic concepts. By relaxing the conventional binary operations into hyperoperations, multiplicative hyperrings offer a rich algebraic environment where classical notions such as ideals, prime ideals, and their generalizations acquire novel and meaning- ful forms. In particular, the study of generalized prime-like objects- such as 2-absorbing δ-prime hyperideals-plays a central role in deep- ening our comprehension of the internal behavior of hyperrings. These generalized structures extend the traditional notion of prime ideals and allow us to explore more intricate algebraic phenomena that are otherwise obscured in the classical setting. The purpose of this paper is to rigorously explore and characterize the properties of 2-absorbing δ-prime hyperideals in multiplicative hyperrings. We aim to provide a comprehensive analysis of their defining condi- tions, structural implications, and potential interactions with other classes of hyperideals. | ||
| کلیدواژهها | ||
| Keywords: Hyperrings؛ Hyperideals؛ δ-Prime Hyper- ideals | ||
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آمار تعداد مشاهده مقاله: 20 |
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