Then we investigate the minquasi - injective modules with some additional conditions . finally , we study the endomorphism ring on minquasi - injecive modules 其次,我們研究了帶有附加條件的min - q -內(nèi)射模的性質(zhì)。
They study the duality and selfduality of rings such as extensions of a ring with a morita duality ( or selfduality ) , noether rings , series rings , endomorphism rings and so on 他們研究環(huán)擴(kuò)張, noether環(huán),序列環(huán),自同態(tài)環(huán)等的對(duì)偶性及自對(duì)偶。上個(gè)世紀(jì)九十年代, c menini和a
Especially , we compute the hochschild cohomology of endomorphism algebras of complete exceptional sequence of the path algebra whose quiver has 3 vertices and has no orientation 第四章中,我們主要研究具有三個(gè)點(diǎn)的且不帶方向圈的有向箭圖的路代數(shù)上的完備例外序列的自同態(tài)代數(shù)的hochschild上同調(diào)群。
In chapter 3 , we study the property of complete exceptional sequence . in chapter 4 , we make research on the hochschild cohomology of endomorphism algebras of complete exceptional sequence over hereditary algebras 第三章,我們證明了有限維遺傳代數(shù)中,完備例外序列的維數(shù)向量的性質(zhì)定理以及完備例外序列的誠(chéng)實(shí)性。
In recent years , the endomorphism algebras of complete exceptional sequence of type an and an have been researched . furthermore , the inductive formula of the number of complete exceptional sequence over hereditary algebras of finite representation type has been obtained 對(duì)于例外序列自同態(tài)代數(shù)的研究中,有關(guān)a _ n型, a _ n型的完備例外序列的自同態(tài)代數(shù)的結(jié)構(gòu)都已經(jīng)清楚,并且進(jìn)一步得到計(jì)算有限表示型遺傳代數(shù)中完備例外序列個(gè)數(shù)的遞推公式。
We show that near a hyperbolic set a c ~ ( 1 ) endomorphism has the lipschitz shadowing property , and a hyperbolic endomorphism has the inverse shadowing property with respect to a class of continuous methods . moreover , each of these shadowing properties is also " uniform " with respect to c ~ ( 1 ) perturbation 證明了c ~ 1自同態(tài)在其雙曲不變集附近具有l(wèi)ipschitz跟蹤性,當(dāng)c ~ 1自同態(tài)為雙曲時(shí),對(duì)一類連續(xù)method而言具有反跟蹤性,并且這兩種跟蹤性相對(duì)c ~ 1小擾動(dòng)均具有一致性。