【摘要】：設(shè)A是加法范疇,在定義范疇A的η-擴(kuò)張基礎(chǔ)上,得到加法范疇的η-擴(kuò)張的不變性,進(jìn)而得到范疇A的回路范疇與η-擴(kuò)張交換性,即有加法范疇等價(jià)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(kuò)張環(huán)的K_1群的一個(gè)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(xué)數(shù)學(xué)與計(jì)算機(jī)科學(xué)學(xué)院;
【基金】：國(guó)家自然科學(xué)基金資助項(xiàng)目(11471269) 福建省自然科學(xué)基金資助項(xiàng)目(2016J01002)
【分類(lèi)號(hào)】：O154.1
，

本文編號(hào)：2453122