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Maximal Semicommutative Subrings of Upper Triangular Matrix Rings

机译:上三角矩阵环的最大半交换子环

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A ring R is called “semicommutative” if any right annihilator over R is an ideal of R. We show that special subrings of upper triangular matrix rings over a reduced ring are maximal semicommutative. Consequently, new families of semicommutative rings are presented.View full textDownload full textKey WordsReduced ring, Semicommutative ring, Upper triangular matrix ring2000 Mathematics Subject ClassificationPrimary 16S50, Secondary 16U80Related var addthis_config = { ui_cobrand: "Taylor & Francis Online", services_compact: "citeulike,netvibes,twitter,technorati,delicious,linkedin,facebook,stumbleupon,digg,google,more", pubid: "ra-4dff56cd6bb1830b" }; Add to shortlist Link Permalink http://dx.doi.org/10.1080/00927870701649374
机译:如果R上的任何右an灭子都是R的理想值,则将其称为“半交换”。我们证明,在还原环上的上三角矩阵环的特殊子环是最大半交换的。因此,提出了新的半交换环族。查看全文下载关键词:还原环,半交换环,上三角矩阵环netvibes,twitter,technorati,可口,linkedin,facebook,stumbleupon,digg,google,更多”,发布:“ ra-4dff56cd6bb1830b”};添加到候选列表链接永久链接http://dx.doi.org/10.1080/00927870701649374

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