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arXiv 0902.1155math.GR
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涉及乘法和转置的矩阵恒等式

Matrix identities involving multiplication and transposition

Karl Auinger, Igor Dolinka, Mikhail Volkov

备注：
35 pages, 1 figure. This paper has grown from the first part of the authors' preprint 0902.1155 (entitled "Equational theories of semigroups with enriched signature"). It focuses on the finite basis problem for matrix indentities involving multiplication and unary operations such as transposition or symplectic transpose or Moore-Penrose inversion
发表信息：
Journal of the European Mathematical Society 14 (2012), 937-969
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摘要：

我们研究涉及乘法和一元运算的矩阵恒等式，如转置或Moore-Penrose逆。我们证明，在许多情况下，这样的身份承认没有有限的基础。

英文摘要：

We study matrix identities involving multiplication and unary operations such as transposition or Moore-Penrose inversion. We prove that in many cases such identities admit no finite basis.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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