- Hacettepe Journal of Mathematics and Statistics
- Vol: 51 Issue: 2
- Bi-amalgamations subject to the clean and nil-clean properties
Bi-amalgamations subject to the clean and nil-clean properties
Authors : Khalid Adarbeh, Mohammad Adarbeh
Pages : 494-500
Doi:10.15672/hujms.982926
View : 15 | Download : 5
Publication Date : 2022-04-01
Article Type : Research
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.