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PDF(483 KB)
PDF(483 KB)
Abel群的一些分解定理的推广(II)
Some Extensions of Decomposition Theorems in Abelian Groups (Ⅱ)
本文讨论了2类具体的主理想整环上的拟循环模，研究了A-宽有限的向量空间，刻画了该类向量空间的结构，阐述了A-宽有限的向量空间的A-不变子空间构成的偏序集必满足极小条件，并给出了带有线性变换的向量空间作为F[λ]-模构成拟循环模的一个充要条件.
We first discuss two special quasi-cyclic modules over principal ideal domains and then investigate the structures of vector spaces of finite A-width. We show that the poset of A-invariant subspaces of a vector space of finite A-width must satisfy the minimal condition, and give a sufficient and necessary condition for a vector space (as a F[λ]-module) to be a quasi-cyclic module.
拟循环模 / A-宽 / A-不变子空间 {{custom_keyword}} /
quasi-cyclic module / A-width / A-invariant subspace {{custom_keyword}} /
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国家自然科学基金资助项目（11771129）；湖北省高等学校优秀中青年科技创新团队计划（T201601）；湖北省新世纪高层次人才工程专项基金
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