n群中的相对基本理想

IF 0.7 Q2 MATHEMATICS Tamkang Journal of Mathematics Pub Date : 2021-11-08 DOI:10.5556/j.tkjm.54.2023.4136
Tapatee Sahoo, B. Davvaz, Harikrishnan Panackal, B. S. Kedukodi, S. P. Kuncham
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引用次数: 0

摘要

设$G$是$N$-群,其中$N$是一个(右)近邻。我们引入了相对本质理想(或$N$-子群)的概念,作为环或近环上模的本质子模概念的推广。我们提供了适当的例子来区分相对本质和本质理想的概念。证明了涉及商的相对本质理想(或$N$-子群)的一些重要性质,并得到了它们的等价条件。进一步,我们得到了N -群的直接和、补理想的结果,并得到了它们在同态下的性质。
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Relative Essential Ideals in N-groups
Let $G$ be an $N$-group where $N$ is a (right) nearring. We introduce the concept of relative essential ideal (or $N$-subgroup) as a generalization of the concept of essential submodule of a module over a ring or a nearring. We provide suitable examples to distinguish the notions relative essential and essential ideals. We prove the important properties and obtain equivalent conditions for the relative essential ideals (or $N$-subgroups) involving the quotient. Further, we derive results on direct sums, complement ideals of $N$-groups and obtain their properties under homomorphism.
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来源期刊
CiteScore
1.50
自引率
0.00%
发文量
11
期刊介绍: To promote research interactions between local and overseas researchers, the Department has been publishing an international mathematics journal, the Tamkang Journal of Mathematics. The journal started as a biannual journal in 1970 and is devoted to high-quality original research papers in pure and applied mathematics. In 1985 it has become a quarterly journal. The four issues are out for distribution at the end of March, June, September and December. The articles published in Tamkang Journal of Mathematics cover diverse mathematical disciplines. Submission of papers comes from all over the world. All articles are subjected to peer review from an international pool of referees.
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