Primal ideal
In this article, we will thoroughly explore the topic of Primal ideal and all its implications. From its origins to its impact today, we will dive into an exhaustive analysis that will cover all relevant aspects. Whether Primal ideal is a person, a historical event, a social phenomenon, or any other topic of interest, our goal is to provide a complete and detailed overview that satisfies the curiosity of our readers. Along these lines, we will delve into the various aspects that characterize Primal ideal, from its influence on society to its relevance in the current panorama. There is no doubt that Primal ideal arouses widespread interest, and that is why we propose to offer a deep and revealing look that allows us to understand its true scope.
In mathematics, an element a of a commutative ring R is called (relatively) prime to an ideal I if whenever ab is an element of I then b is also an element of I.
A proper ideal I of a commutative ring A is said to be primal if the elements that are not prime to it form an ideal.
References
- Fuchs, Ladislas (1950), "On primal ideals", Proceedings of the American Mathematical Society, 1: 1–6, doi:10.2307/2032421, MR 0032584.
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