Strongly J-Clean Skew Triangular Matrix Rings
2015 ◽
Vol 0
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Keyword(s):
Abstract Let R be an arbitrary ring with identity. An element a ∈ R is strongly J-clean if there exist an idempotent e ∈ R and element w ∈ J(R) such that a = e + w and ew = ew. A ring R is strongly J-clean in case every element in R is strongly J-clean. In this note, we investigate the strong J-cleanness of the skew triangular matrix ring Tn(R, σ) over a local ring R, where σ is an endomorphism of R and n = 2, 3, 4.
2012 ◽
Vol 11
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pp. 1250107
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2019 ◽
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2016 ◽
Vol 15
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pp. 1650121
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1998 ◽
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1974 ◽
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2015 ◽
Vol 14
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pp. 1550059