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Some results on the square-difference factor absorbing hyperideals of a commutative hyperring | ||
| Caspian Journal of Mathematical Sciences | ||
| دوره 15، شماره 1 - شماره پیاپی 29، 2026، صفحه 144-173 اصل مقاله (422.3 K) | ||
| نوع مقاله: Research Articles | ||
| شناسه دیجیتال (DOI): 10.22080/cjms.2026.30789.1788 | ||
| نویسنده | ||
| Mohammad Ali Dehghanizadeh* | ||
| Department of Basic Sciences, Technical and Vocational University(TVU), tehran, Iran | ||
| تاریخ دریافت: 23 آذر 1404، تاریخ بازنگری: 03 بهمن 1404، تاریخ پذیرش: 08 بهمن 1404 | ||
| چکیده | ||
| In this paper, we investigate structural properties of commuta- tive von Neumann regular hyperrings with a particular emphasis on the behavior of sdf-absorbing hyperideals. We establish neces- sary and sufficient conditions under which every proper hyperideal of such a hyperring is sdf-absorbing. Specifically, we prove that for a commutative von Neumann regular hyperring R satisfying 0 6= 2 ∈ Z(R), the following statements are equivalent: (a) every proper hyperideal of R is sdf-absorbing; (b) every nonzero proper hyperideal of R is sdf-absorbing; and (c) exactly one maximal hy- perideal M of R has char(R/M) 6= 2. This characterization links the absorbing behavior of hyperideals with the arithmetic of quo- tient hyperrings, thereby providing a structural criterion for the distribution of maximal hyperideals in R. | ||
| کلیدواژهها | ||
| Von Neumann Regular Hyperring؛ Hyperideal؛ Sdf-Absorbing Hyperideal؛ Quotient Hyperring Characteristic (of a Ring)؛ Hyperstructure Theory | ||
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آمار تعداد مشاهده مقاله: 421 تعداد دریافت فایل اصل مقاله: 7 |
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