L-R-Smash Products and L-R-Twisted Tensor Products of Algebras

• 作者: Florin Panaite Madalin Ciungu
• 来源期刊: 代数集刊:英文版
• 学科: 数学
• 关键词: 张量积 SMASH积 代数 扭转 SMASH积 扭曲 证明
• 年，卷（期）: 2014,（1）
• 页码范围: 129-146
• 页数: 18页
• 分类号: O151.21
• 语种: 中文

摘要

We introduce a common generalization of the L-R-smash product and twisted tensor product of algebras, under the name L-R-twisted tensor product of algebras. We investigate some properties of this new construction, for instance, we prove a result of the type "invariance under twisting" and we show that under certain circumstances L-R- twisted tensor products of algebras may be iterated.