Abstract

A ring R is quasipolar if for any a ∈ R, there exists p 2 = p ∈ R such that , a + p ∈ U(R) and ap ∈ R qnil . In this article, we investigate conditions on a local ring R that imply every n × n upper triangular matrix ring over R is quasipolar. It is shown that this is the case for commutative local rings, as well as for a host of other classes of local rings.

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