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Miskolc Mathematical Notes Vol. 25 (2024), No. 1, pp. 509522HU eISSN 17872413 DOI: 10.18514/MMN.2024.4267ON n1ABSORBING PRIMARY IDEALS GULSEN ULUCAK, SAKINEH BABAEI, AND ESRA SENGELEN SEVIM Received 31 May, 2022 Abstract. The paper aims to present a new primary ideal in a commutative ring R with nonzero identity element. We introduce the new primary ideal as an n1absorbing primary ideal that is a generalization of both primary and 1absorbing primary ideals. We propose to achieve two goals...

How to fill out on n-1-absorbing primary ideals

How to fill out on n-1-absorbing primary ideals

1. Identify the n-1-absorbing primary ideal in your ring.
2. Ensure that you understand the definition and properties of absorbing primary ideals.
3. List the elements of the ring needed to construct the ideal.
4. Select n-1 elements from the ring that will generate the ideal.
5. Verify that the chosen elements satisfy the conditions for an n-1-absorbing primary ideal.
6. Document the ideal and its properties.

Who needs on n-1-absorbing primary ideals?

1. Algebraists studying commutative algebra.
2. Researchers working on ideal theory and its applications.
3. Mathematicians examining properties of rings and modules.
4. Students learning about abstract algebra concepts.

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What is on n-1-absorbing primary ideals?

n-1-absorbing primary ideals are a class of ideals in ring theory that absorb products of elements from the ring, specifically when considering the product of n-1 elements. If an ideal absorbs an element in the way that it includes products of the element with certain others, it is termed as n-1-absorbing.

Who is required to file on n-1-absorbing primary ideals?

Mathematicians and researchers working in ring theory and algebra are typically the ones who would need to file studies or papers concerning n-1-absorbing primary ideals.

How to fill out on n-1-absorbing primary ideals?

To fill out the information regarding n-1-absorbing primary ideals, one must define the ideal and provide examples, explanations of properties, and possibly applications within algebra.

What is the purpose of on n-1-absorbing primary ideals?

The purpose of studying n-1-absorbing primary ideals is to understand their structure and behavior within rings, which can lead to insights in algebraic geometry and the theory of modules.

What information must be reported on on n-1-absorbing primary ideals?

Information to report includes definitions, properties, examples, relationships with other types of ideals, and any significant theorems related to n-1-absorbing primary ideals.