Browsing by Subject "local ring"

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    Certain clean decompositions for matrices over local rings
    (Kyungpook National University Department of Mathematics, 2023-12-31) Kurtulmaz, Yosum ; Köse, Handan; Chen, Huanyin
    An element a E R is strongly rad-clean provided that there exists an idempotent e E R such that a -e E U(R), ae = ea and eae E J(eRe). In this article, we completely determine when a 2 x 2 matrix over a commutative local ring is strongly rad clean. An application to matrices over power-series is also given.