非正整数三元半环中的3-吸收主T-理想

Q4 Mathematics

Journal of the Indian Mathematical Society Pub Date : 2018-12-12 DOI:10.18311/jims/2019/22485

K. J. Ingale, J. N. Chaudhari

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引用次数: 0

摘要

由于三元半环S的偶数元素的乘积可能不是S的元素，因此不能定义S中2-吸收理想的概念。本文在具有单位元的交换三元半环中引入了3-吸收理想的概念，得到了非正整数三元半圈中3-吸收主理想和3-吸收主T-理想的刻画。

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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3-Absorbing Principal T -Ideals in the Ternary Semiring of Non-positive Integers

Since the product of even number of elements of ternary semiring S may not be element of S , the concept of 2-absorbing ideal in S can not be defined. In this paper, we introduce the concept of 3-absorbing ideals in a commutative ternary semiring with identity element and obtain characterizations of 3-absorbing principal ideals and 3-absorbing principal T -ideals in the ternary semiring of non-positive integers.

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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.