杭州师范大学学报（自然科学版）
杭州師範大學學報（自然科學版）
항주사범대학학보（자연과학판）
JOURNAL OF HANGZHOU NORMAL UNIVERSITY(NATURAL SCIENCE EDITION)
2011年
4期
289-297
,共9页
1-稳定理想%单位1-稳定理想%2-稳定理想%方块矩阵
1-穩定理想%單位1-穩定理想%2-穩定理想%方塊矩陣
1-은정이상%단위1-은정이상%2-은정이상%방괴구진
1-stable ideal%unit 1-stable ideal%2-stable ideal%square matrix
把稳定环推广到理想上,从而讨论了具有稳定元的方块矩阵,得到了置换环上这类矩阵可对角化,进一步讨论了其它相关的稳定性问题.
把穩定環推廣到理想上,從而討論瞭具有穩定元的方塊矩陣,得到瞭置換環上這類矩陣可對角化,進一步討論瞭其它相關的穩定性問題.
파은정배추엄도이상상,종이토론료구유은정원적방괴구진,득도료치환배상저류구진가대각화,진일보토론료기타상관적은정성문제.
This paper extended stable rings to ideals of a ring,and investigated matrices with stable entries.The results prove that every square matrix with 1-stable entries over an exchange ring admits a diagonal reduction,and that every square matrix with unit 1-stable entries is a sum of two invertible matrices.The paper obtained an analogous result by square matrices with 2-stable entries,and studied triangular decompositions of square matrices with stable entries.
