共查询到14条相似文献,搜索用时 0 毫秒
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Yu Wang 《Linear and Multilinear Algebra》2016,64(10):1952-1959
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Yu Wang 《Linear and Multilinear Algebra》2019,67(2):348-359
The aim of this paper is to give an improvement of a result on functional identities in upper triangular matrix rings obtained by Eremita, which presents a short proof of Eremita’s result. 相似文献
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Tsiu-Kwen Lee 《代数通讯》2019,47(1):236-251
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Let R be a reduced ring with Q its Martindale symmetric ring of quotients, and let B be the complete Boolean algebra of all idempotents in C, where C is the extended centroid of R. It is proved that every minimal prime ideal of R must be of the form mQ∩R for some maximal ideal m of B but the converse is in general not true. In addition, if R is centrally closed or has only finitely many minimal prime ideals, then the converse also holds. By applying the explicit expression, many properties of minimal prime ideals of reduced rings are realized more easily. 相似文献
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We compute the largest dimension of the Abelian Lie subalgebras contained in the Lie algebra
of n×n strictly upper triangular matrices, where n ∈ ℕ \ {1}. We do this by proving a conjecture, which we previously advanced,
about this dimension. We introduce an algorithm and use it first to study the two simplest particular cases and then to study
the general case.
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 152, No. 3, pp. 419–429, September, 2007. 相似文献
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Let 𝒩(∞,R) be the Lie algebra of infinite strictly upper triangular matrices over a commutative ring R. We show that every derivation of 𝒩(∞,R) is a sum of diagonal and inner derivations. 相似文献
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设F是一个特征2且至少含有5个元素的域,n≥2是一个正整数.令Mn(F)和Tn(F)分别F上的全矩阵空间和上三角矩阵空间.我们首先刻划从Tn(F)到Mn(F)的保矩阵群逆的所有线性单射,由此从Tn(F)到自身的所有保矩阵群逆的线性双射被刻划. 相似文献
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