| 形式三角矩阵环上的强Ding投射模和强Ding内射模 |
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| 引用本文： | 赵阳,张文汇.形式三角矩阵环上的强Ding投射模和强Ding内射模[J].山东大学学报(理学版),2020,55(10):37-45. |
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| 作者姓名： | 赵阳 张文汇 |
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| 作者单位： | 西北师范大学数学与统计学院,甘肃 兰州730070 |
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| 基金项目： | 国家自然科学基金资助项目(11861055) |
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| 摘 要： | 讨论了形式下三角矩阵环T=(A 0U B)上的强Ding投射模和强Ding内射模,证明了当UA和BU的平坦维数有限,并且(M1M2)φM是强Ding投射左T-模时,M1是强Ding投射左A-模,φM是单同态,M2/Im φM是强Ding投射左B-模。
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| 关 键 词： | 形式三角矩阵环 强Ding投射模 强Ding内射模 |
Strongly Ding projective and strongly Ding injective modules over formal triangular matrix rings |
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| ZHAO Yang,ZHANG Wen-hui.Strongly Ding projective and strongly Ding injective modules over formal triangular matrix rings[J].Journal of Shandong University,2020,55(10):37-45. |
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| Authors: | ZHAO Yang ZHANG Wen-hui |
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| Affiliation: | College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, Gansu, China |
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| Abstract: | Strongly Ding projective and strongly Ding injective modules are investigated over the formal triangular matrix ring T=(A 0U B). It is proved that if both UA and BU have finite flat dimensions, and left T-module (M1M2)φM is strong Ding projective, left A-module M1 is strong Ding projective, φM is a monomorphism, left B-module M2/Im φM is strong Ding projective. |
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| Keywords: | formal triangular matrix ring strongly Ding projective module strongly Ding injective module |
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