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

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.

References

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