Turkish Journal of Mathematics
Abstract
Let $R\ $be a commutative ring with nonzero identity and $I\ $a proper ideal of $R.\ $Then $I\ $is called a uniformly $pr$-ideal if there exists $N\in% \mathbb{N} $ such that $ab\in I\ $with $ann(a)=0\ $then $b^{N}\in I.\ $We say that the smallest $N\in% \mathbb{N} $ is called order of $I\ $and denoted by $ord_{R}(I)=N.\ $In this paper, we give some examples and characterizations of this new class of ideals.
DOI
10.3906/mat-1902-102
Keywords
$r$-ideal, $pr$-ideal, uniformly $pr$-ideal
First Page
1878
Last Page
1886
Recommended Citation
ÜREGEN, R. N (2019). On uniformly $pr$-ideals in commutative rings. Turkish Journal of Mathematics 43 (4): 1878-1886. https://doi.org/10.3906/mat-1902-102
