本文選題：×矩陣　切入點(diǎn)：強(qiáng)J-clean性　出處：《數(shù)學(xué)進(jìn)展》2017年02期 　論文類型：期刊論文

【摘要】：環(huán)中元素稱為強(qiáng)J-clean,如果它可寫成冪等元與其Jacobson根中元素之和,并且它們可交換.本文研究了交換局部環(huán)上強(qiáng)J-clean 2×2矩陣,進(jìn)而確定了素?cái)?shù)p生成的素理想的局部化環(huán)Z_(p)和p-adic整數(shù)環(huán)Z_p上強(qiáng)J-clean 2×2矩陣.
[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.
【作者單位】： 杭州師范大學(xué)理學(xué)院;
【基金】：Supported by the Natural Science Foundation of Zhejiang Province(No.LY17A010018)
【分類號】：O153.3;O151.21
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本文編號：1629871