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中文摘要：
称环R的元有强二和环性质如果它可以写成该环中两个可换单位的和。如果环R的每个元都有强二和性质,则称R为强二和环。局部环是非常重要的环类,局部环及其扩张在环论、模论和同调代数等的研究中都有非常重要的地位。本文首先给出了局部环是强二和环的一个刻画,然后研究了局部环的幂级数扩张、平凡扩张和矩阵扩张等的强二和性。
英文摘要：
An element of a ring Ris called to have the strong 2-sum property if it is a sum of two units that commute with each other.And a ring Ris called a strong 2-sum ring if every element of Rhas the strong 2-sum property.Local ring is a very important class of rings.Local rings and their extensions are very important in the research of ring theory,module theory and homological algebra.In this article,a characterization of a local ring to be a strong 2-sum ring is given.Then,the strong 2-sum property of local rings and their power series extension,trivial extension and matrix extension are studied.
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