Bi-amalgamations subject to the clean and nil-clean properties

Year 2022, Volume: 51 Issue: 2, 494 - 500, 01.04.2022

Khalid Adarbeh , Mohammad Adarbeh

https://doi.org/10.15672/hujms.982926

Abstract

This paper investigates necessary and sufficient conditions for a bi-amalgamation to inherit the clean as well as the nil-clean properties. The new results recovers different settings of other constructions such as duplications and amalgamations. All results are used to build new and illustrative examples arising as bi-amalgamations.

Keywords

Bi-amalgamation of a ring along ideals, (uniquely) clean rings, nil-clean rings, Boolean rings.

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