injective module 中文意思是什麼

injective module 解釋
內射模
  • injective : 內射, 單射
  • module : n. 1. 測量流水等的單位〈1秒100升〉。2. 【建築】圓柱下部半徑度。3. 【物理學】模，系數，模數，模量。4. 【無線電】微型組件；組件；模塊。5. （太空船上各個獨立的）艙。
  1. Injective envelops and generators in the entwined module categories

    扭曲模的內射包和生成子
  2. Injective modules play an important role in module theory and homological algebra. in the first part of this paper, the concept of injective modules extended and weak injective modules are denned

    在本文的第一部分中，我們對內射模的定義進行了推廣，定義了弱內射模：設t ， n為r -模，對于n的任意非零子模m （
  3. At first a lot of new characterizations of gorenstein injective modules are given, then the author claim that a ring r is qf if and only if every left ( or right ) r - modules are gorenstein injective, and then show that if r is two - side noetherian, r is n - gorenstein if and only if every n - th cosyzygy of an injective resolution of a left ( and right ) r - module is gorenstein injective if and only if every n - th syzygy of an injective resolvent of a left ( and right ) right module is gorenstein injective. finally, we prove that for an n - gorenstein ring r with n > 0, every module can be embedded in a gorenstein injective module and the injective dimension of its cokernel is at most n - 1

    首先給出了gorenstein內射模的許多新的刻畫，推出了環r是qf環當且僅當每個左（右）的r -模的單邊內射分解式的第n個上合沖是gorenstein內射模，接著推出了左、右noether環只是n - gorenstein環當且僅當每個左（右）模的單邊內射分解式的第n個上合沖是gorenstein內射模當且僅當每個左（右）模的單邊內射預解式的第n合沖是gorenstein內射模，最後推出了n - gorenstein環中每個模都可嵌入到一個gorenstein內射模之中，且其上核的內射維數不大於n - 1 。
  4. In this thesis, we will discuss the homological dimension and homological properities of rings and modules which is one of the most impertinent parts in homological theory. in the first chapter, we investigate the relation of homological properities between ring r. [ [ x ] ] and ring r, we prove that a module m is an injective or a flat r - module, then it is an injective or a flat r [ [ x ] ] - module respectively, and if m is an injective or a flat r - module, then hom ( r [ [ x ] ], m ) is an injective r [ [ x ) ] - module, r. [ [ x } ] m is a flat r { [ x ] } - module

    在第一章中，我們主要研究了冪級數環r [ [ x ] ]與環r上的模的平坦性與內射性之間的關系。證明了當只是一個完全凝聚交換環時，如果m是一個內射或平坦r [ x ] -模，則m是一個內射或平坦r -模。如果m是一個平坦r -模，則r [ x ] _ rm是一個平坦r [ x ] -模。
  5. Weak injective module and weak injective dimension

    弱內射模與弱內射維數
  6. Some discussions of gpp ring and gp injective module

    內射模的若干討論
  7. P - flat module, p - injective module and some rings

    內射模和某些環
  8. In this thesis, we mainly investigate several special gen - eral injective rings, and one special general injective module

    本學位論文主要討論幾類特殊的廣義內射環與一類特殊的廣義內射模。
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