When I is a primary ideal or a zero-dimensional primary ideal,the properties of I∶f and I∶〈f1,…, fr〉are studied; and the important conclusion was gotten when I is a P-prime ideal, I∶〈f1,…,fr〉= R or is also a P-prim.
并讨论了当I是准素理想、零维准素理想时,I∶f与I∶〈f1,…,fr〉的性质;得到了以下重要结论:当I是P-准素理想,则I∶〈f1,…,fr〉=R或是P-准素理想。
The concepts of prime ideal and primary ideal are proposed in residuated lattice impliction algebras.
在剩余格蕴涵代数中,提出了素理想和准素思想的概念,证明了包含核的理想的格蕴涵同态像仍是理想,并研究了准素理想与素理想的性质。
This paper discusses some generalized forms of the primary decomposition of vector space with regard to linear transformation.
本文讨论了向量空间关于线性变换σ的准素分解的一些推广形式。
In this paper,we mainly discuss the properties of the rings with primary centers or semiprime centers.
主要讨论了具有准素中心或半素中心的环的一些性质,在具有准素中心的条件下,环的正则性与强正则性是一致的,环是π-正则,则环是强π-正则;在具有半素中心的环中,素根与诣零根是相同的,且它们是可换的。
The concept of primary filter is proposed in residuated lattice implication algebras.
在剩余格蕴涵代数中,提出准素滤子的概念。
Finite groups with given indices of normalizers of primary subgroups are studied .
研究了已给准素子群的正规化子指数的有限群。
In this paper, finite groups in which the index of the normalizer of every primary subgroup is a prime power are studied.
研究准素子群正规化子有素数幂指数的有限群。
In this paper, we study finite groups in which the index of the no rm alizer of every primary subgroup is a prime power and prove that the bound of th e p-length of any such group G is at most 1 for every prime p.
本文研究准素子群正规化子有素数幂指数的有限群,证明了:如果一个有限群G的所有准素子群的正规化子有素数幂指数,则对于任意素数p,G的p-长小于等于1。