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Articles

Generalization of Zorn’s lemma: maximal crossed ideals

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Pages 3727-3735 | Received 05 Dec 2019, Accepted 13 Mar 2021, Published online: 30 Mar 2021
 

Abstract

In this article, we generalize some special ideals to crossed modules and give some relations. Also, we prove one of the existence results in algebra for crossed modules using Zorn’s lemma that a crossed module with nontrivial base ring with unity contains a maximal crossed ideal.

2020 Mathematics Subject Classification:

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