We investigate the transfer of the notion of feebly clean along with related concepts such as feebly J-clean, and feebly nil-clean rings, to bi-amalgamated algebras along ideals. For example, we prove that the ring A⋈f,g(J,J') is feebly clean (J-clean, nil-clean) under the conditions J×J'⊆Nil(B×C), and one of the rings A, f(A)+J, and g(A)+J' is feebly clean (J-clean, nil-clean). Also, we provide new characterizations of feebly J-clean and feebly clean rings. All along the paper, we use the results to build examples subject to the mentioned concepts.

Title

Journal of Algebra and Its Applications

Publisher

World Scintific

Publisher Country

United States of America

Indexing

Thomson Reuters

Impact Factor

0.7

Publication Type

Both (Printed and Online)

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Year

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Pages

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