交换局部环上强J-clean矩阵（英文）

发布时间：2018-03-18 13:57

  本文选题：×矩阵　切入点：强J-clean性　出处：《数学进展》2017年02期 　论文类型：期刊论文

【摘要】：环中元素称为强J-clean,如果它可写成幂等元与其Jacobson根中元素之和,并且它们可交换.本文研究了交换局部环上强J-clean 2×2矩阵,进而确定了素数p生成的素理想的局部化环Z_(p)和p-adic整数环Z_p上强J-clean 2×2矩阵.
[Abstract]:An element in a ring is called a strong J-clean if it can be written as the sum of idempotent elements and the elements in its Jacobson radical, and they are commutative. In this paper, we study the strong J-clean 2 脳 2 matrices over commutative local rings. Furthermore, the strong J-clean 2 脳 2 matrices over prime ideals generated by prime number p and p-adic integer ring Z _ s _ p are determined.
【作者单位】： 杭州师范大学理学院;
【基金】：Supported by the Natural Science Foundation of Zhejiang Province(No.LY17A010018)
【分类号】：O153.3;O151.21
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本文编号：1629871