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将k-挠自由模的概念从有限生成模推广到无限生成模，采用范畴化的方法证明了Frobenius函子保持并反射无限生成k-挠自由模.
Abstract：The definition of finitely generated k-torsionfree modules is extended to infinitely generated k-torsionfree modules.A method of category theory is given to prove that Frobenius functors preserve and reflect infinitely generated k-torsionfree modules.
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基本信息:
DOI：10.16163/j.cnki.dslkxb202503140002
中图分类号:O153.3
引用信息:
[1]常怡,梁力.Frobenius函子和k-挠自由模[J].东北师大学报(自然科学版),2026,58(01):7-11.DOI:10.16163/j.cnki.dslkxb202503140002.
基金信息:
国家自然科学基金资助项目(12271230)
2025-03-14
2025
2025-04-14
2025
1
2026-03-17
2026-03-17