形式三角矩阵环上的余挠三元组
Cotorsion Triples over Formal Triangular Matrix Rings
DOI: 10.12677/PM.2022.125079, PDF, HTML, 下载: 217  浏览: 343  国家自然科学基金支持
作者: 曹家乐, 杨晓燕*：西北师范大学数学与统计学院，甘肃 兰州
关键词: 形式三角矩阵环；余挠对；余挠三元组；Formal Triangular Matrix Ring； Cotorsion Pair； Cotorsion Triple
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.
Abstract: 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.
文章引用：曹家乐, 杨晓燕. 形式三角矩阵环上的余挠三元组[J]. 理论数学, 2022, 12(5): 687-693. https://doi.org/10.12677/PM.2022.125079

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