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.

العنوان

Journal of Algebra and Its Applications

الناشر

World Scintific

بلد الناشر

الولايات المتحدة الأمريكية

Indexing

Thomson Reuters

معامل التأثير

0,7

نوع المنشور

Both (Printed and Online)

المجلد

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السنة

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الصفحات

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