k-代数的零张量因子
The zero tensor-divisors of k-algebras
摘要
对定义在域k上的k-代数 A. 本文考虑了两个问题: 代数 A上的张量积M⊗N为0 时, 何时能导出M = 0 或 N = 0; 代数上的张量积M⊗N中的元素m⊗n为 0 时, 何时能导出 m=0 或 n = 0.
Abstract
Let be a k-algebra defined over a field k. This paper consider the two questions: If the tensor M⊗N on A is zero, under what situation is either M = 0 or N = 0? If the element, say m⊗n , in M⊗N is zero, under what situation is either m=0 or n = 0?关键词
箭图表示/张量/零因子/无零因子环Key words
quiver representations/tensors/zero divisors/rings without zero divisor引用本文复制引用
刘雨喆,赵伟,李长远,林霞.k-代数的零张量因子[EB/OL].(2023-12-11)[2026-04-01].https://chinaxiv.org/abs/202310.00004.学科分类
数学
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