Bi-amalgamations of commutative feebly clean-like rings
We investigate the transfer of the notion of feebly clean along with related concepts such as feebly [Formula: see text]-clean, and feebly nil-clean rings, to bi-amalgamated algebras along ideals. For example, we prove that the ring [Formula: see text] is feebly clean ([Formula: see text]-clean, nil-clean) under the conditions [Formula: see text], and one of the rings [Formula: see text], [Formula: see text], and [Formula: see text] is feebly clean ([Formula: see text]-clean, nil-clean). Also, we provide new characterizations of feebly [Formula: see text]-clean and feebly clean rings. All along the paper, we use the results to build examples subject to the mentioned concepts.
Authors
- Mohammad Adarbeh
- Khalid Adarbeh (ORCID: https://orcid.org/0000-0002-8091-2557)
Institutions
- An-Najah National University (PS)
- Birzeit University (PS)
Publication Details
- Journal
- Journal of Algebra and Its Applications
- Published
- 2025-02-13
- DOI
- https://doi.org/10.1142/s0219498826501653
- Primary Topic
- Rings, Modules, and Algebras
- Type
- article
- Field-Weighted Citation Impact
- 0.00