On locally $S$-primary ideals of commutative rings

	On locally $S$-primary ideals of commutative rings
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.2025.28800.1748
نویسندگان
Maryam Davoudian^* ؛ Nahid Naseri
Department of mathematics, Faculty of Mathematical Sciences and Computer, Shahid Chamran university of Ahvaz, Ahvaz Iran
تاریخ دریافت: 18 اسفند 1403، تاریخ بازنگری: 06 خرداد 1404، تاریخ پذیرش: 10 خرداد 1404
چکیده
Let R be a commutative ring with $1\neq 0$ and $S\subseteq R$ be a multiplicative subset of R. We introduce and study the concept of strongly S-primary ideals. We call an ideal I of R disjoint from S locally S-primary if whenever $a,b\in R$ and $ab \in I$, then there exists $s\in S$ such that $sa\in I$ or $sb\in \sqrt{I}$. We investigate many properties and characterizations of locally $S$-primary ideals and show that locally $S$-primary ideals enjoy analogs of many properties of $S$-primary ideals.
کلیدواژه‌ها
prime ideals؛ primary ideals؛ locally S-prime ideals؛ locally S-primary ideals

آمار تعداد مشاهده مقاله: 33

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