Reverse order law for the inverse along an element

Reverse order law for the inverse along an element
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沿元素逆的逆序定律

DOI:
10.1080/03081087.2016.1178209
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发表时间:
2015-12
影响因子:
1.1
通讯作者:
Patricio Pedro
Patricio Pedro
中科院分区:
数学3区
文献类型:
--
作者:
Zhu Huihui;Chen Jianlong;Patricio Pedro

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本文在α-幺半群中引入了左(右)g-MP逆的概念。研究了这类广义逆与沿元素沿着的左逆的关系。研究了逆元沿着方向的反序律。然后,研究了么半群中三重元素沿着一个元素的乘积的逆的存在性准则和公式。最后,我们进一步研究了环中的左和右g-MP逆,即沿沿着元素的逆。
In this paper, we introduce a new concept called left (right) g-MP inverse in a -monoid. The relations of this type of generalized inverse with left inverse along an element are investigated. Also, the reverse order law for the inverse along an element is studied. Then, the existence criteria and formulae of the inverse of the product of triple elements along an element are investigated in a monoid. Finally, we further study left and right g-MP inverses, the inverse along an element in the context of rings.
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通讯作者: Patricio Pedro