Browsing by Keywords "Local ring"
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Strongly j-clean skew triangular matrix rings
(Universitatea "Alexandru Ioan Cuza" din Iasi * Facultatea de Matematica,"Alexandru Ioan Cuza" University of Iasi, Faculty of Mathematics, 2016-02-06)Let R be an arbitrary ring with identity. An element a 2 R is strongly J-clean if there exist an idempotent e 2 R and element w 2 J(R) such that a = e + w and ew = ew. A ring R is strongly J-clean in case every element ... -
Very cleanness of generalized matrices
(Springer, 2016-01)An element a in a ring R is very clean in case there exists an idempotent e 2 R such that ae = ea and either a e or a + e is invertible. An element a in a ring R is very J-clean provided that there exists an idempotent ...