关于半环中的B-理想

Q4 Mathematics

Journal of the Indian Mathematical Society Pub Date : 2020-05-15 DOI:10.18311/jims/2020/24429

D. R. Bonde, J. N. Chaudhari

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引用次数: 0

摘要

本文引入了交换半环r上b理想的概念，得到了非负整数半环上b理想的一个刻划。2)得到了含有R的Q理想I的半环R中的b理想与商半环R/I(Q)中的b理想之间的关系。对k- noether半环进行了进一步的研究。研究了多项式半环中的b理想。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On B-Ideals in Semirings

In this paper, we introduce the notion of B-ideal in a commutative semiring R. Then 1) A characterization of B-ideals in the Semiring of non-negative integers is obtained. 2) Relation between B-ideals in a semiring R containing a Q-ideal I of R and B-ideals in the quotient semiring R/I_(Q) is obtained. Further study of k-Noetherian semirings is developed. Also B-ideals in polynomial semirings are studied.

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来源期刊

Journal of the Indian Mathematical Society Mathematics-Mathematics (all)

CiteScore

0.50

自引率

0.00%

发文量

期刊介绍： The Society began publishing Progress Reports right from 1907 and then the Journal from 1908 (The 1908 and 1909 issues of the Journal are entitled "The Journal of the Indian Mathematical Club"). From 1910 onwards,it is published as its current title ''the Journal of Indian Mathematical Society. The four issues of the Journal constitute a single volume and it is published in two parts: issues 1 and 2 (January to June) as one part and issues 3 and 4 (July to December) as the second part. The four issues of the Mathematics Student (another periodical of the Society) are published as a single yearly volume. Only the original research papers of high quality are published in the Journal of Indian Mathematical Society.