【摘要】：設(shè)A是加法范疇,在定義范疇A的η-擴張基礎(chǔ)上,得到加法范疇的η-擴張的不變性,進而得到范疇A的回路范疇與η-擴張交換性,即有加法范疇等價Ω(A(η))≌(ΩA)(η→).最后將主定理應(yīng)用到環(huán)R上的模范疇,得到環(huán)R與其擴張環(huán)的K_1群的一個結(jié)果.
[Abstract]:Let A be an additive category, on the basis of defining 畏-extension of category A, the invariance of 畏-extension of additive category is obtained, and then the loop category and 畏-extension commutativity of category A are obtained. That is, the additive category is equivalent to 惟 (A (畏) (惟 A) (畏). Finally, we apply the principal definite to the category of modules on the ring R, and obtain a result of the ring R and its extended ring K _ (?) _ (1) group.
【作者單位】： 福建師范大學數(shù)學與計算機科學學院;
【基金】：國家自然科學基金資助項目(11471269) 福建省自然科學基金資助項目(2016J01002)
【分類號】：O154.1
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本文編號：2453122