摘要
本文研究了形式三角矩阵环上的余挠三元组的问题. 设是形式三角矩阵环, 其中A和B是环,U是左 B-右 A-双模. 本文利用 A-模上完备(完全)遗传的余挠三元组 (C1, C2, C3) 和 B-模上完备(完全)遗传的余挠三元组 (D1, D2, D3) 构造了形式三角矩阵环 T 上的完备(完全)遗传的余挠三元组.
This paper consider cotorsion triples over formal triangular matrix rings. Let be formal triangular matrix ring, where A and B are two rings and U is a (B, A)-bimodule. In this paper, we use a complete (resp. perfect) hereditary cotorsion triple (C1, C2, C3) over A and a complete (resp. perfect) hereditary cotorsion triple (D1, D2, D3) over B to construct a complete (resp. perfect) hereditary cotorsion triple over T.
出处
《理论数学》
2022年第5期687-693,共7页
Pure Mathematics
