Some Remarks on the Tensor Product of Algebras and Applications Ⅱ

• 来源期刊: 代数集刊（英文版）
• 关键词: G-algebras tensor product pointed groups
• 年，卷（期）: 2007,（1）
• 页码范围: 143-154
• 页数: 12页
• 语种: 英文

摘要

We apply the G-algebra theory to the tensor product of algebras. These considerations are applied to extend the results of Alghamdi and Khammash [1], Khammash [4]and Kiilshammer [5, Proposition 1.2] on the tensor product of group algebras and modules over an algebraically closed field to lattices over a complete discrete valuation ring. This places these results in the standard integral finite group modular representation theory of G-algebras as pioneered by Puig (cf. [8]). We also study some aspects of covering homomorphisms and the Green correspondence in this context (cf. [8, Sections 20 and 25]).