英语人>词典>汉英 : 素对偶理想 的英文翻译,例句
素对偶理想 的英文翻译、例句

素对偶理想

词组短语
prime dual ideal
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Next, we discuss the relations between left quasi-dual bimodules and left dual-bimodules, we obtain that a left quasi-dual bimodule is a left dual bimodule if it satisfies one of the following conditions: sM is minimal injective and MR is a M-minimal injective kasch-module; MR is a M-minimal injective kasch-module and for any two ideals LI and L2 ofSS rM(L1 n L2)-rw(L1)+rM(I2); sM is minimal injective and for any two submodules A and B of MR,Lastly, we applicate the quasi-duality on smash product algebra R#H, and obtain an answer of the semiprime problem, i.e., let H be a finite-dimensional semisimple Hopf algebra and R be an H-module algebra, if R is left quasi-dual and semiprime, then R#H is semiprime.

我们得到:一个左拟对偶双边模如果满足下列条件之一,则它将成为一个左对偶双边模:_sM是单内射的并且M_R是一个M-单内射kasch-模;M_R是一个M-单内射kasch-模并且对_sS的任意两个理想,有r_M(L_1∩L_2)=r_M(L_1)+r_M(L_2);_sM是单内射的且对M_R的任意两个子模,有l_s=l_s+l_s。2 在第2.3节中我们将拟对偶性应用于smash积代数R#H,部分解决了半素问题。

A special kind of prime dual ideals are defined in a lattice implication algebra, then their structures and properties are discussed. It is proved that the implication operation on this lattice implication algebra is determined by these prime dual ideals, and all of these prime dual ideals compose a lattice implication algebra which is lattice implication isomorphic to the former lattice implication algebra.

在格蕴涵代数中定义了一类特殊的素对偶理想,讨论了它们的结构和性质,证明了该格蕴涵代数中的蕴涵运算可以由这些特殊的素对偶理想所确定,并且这些特殊的素对偶理想全体自然地构成一个格蕴涵代数,它和原格蕴涵代数具有格蕴涵代数同构关系。

更多网络解释与素对偶理想相关的网络解释 [注:此内容来源于网络,仅供参考]

prime dual ideal:素对偶理想

prime divisor 素因子 | prime dual ideal 素对偶理想 | prime element 素元

prime divisor:素因子

prime conjunction 素连接 | prime divisor 素因子 | prime dual ideal 素对偶理想

prime element:素元

prime dual ideal 素对偶理想 | prime element 素元 | prime factor 素因数