PRIME RADICALS OF DIRECTED PSEUDO-ORDERED RINGS

A. V. Mikhalev; E. E. Shirshova

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PRIME RADICALS OF DIRECTED PSEUDO-ORDERED RINGS

机译：定向伪订购环的主要基准

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Characteristics of partially pseudo-ordered (K-ordered) rings are considered. Properties of ideals in pseudo-ordered rings are described. A variation of the concept of the prime radical for a ring in the subclass of directed pseudo-ordered rings (AO-ordered rings) is investigated. The description of elements of AO-prime radicals for AO-ordered rings is obtained.

机译：考虑了部分伪订购的（K订购）环的特征。描述了伪订购环中理想的性质。研究了指导伪订购环的子类（AO订购环）的子类中环的概念的变化。获得了对AO订购环的AO-Prime基准元件的描述。

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《Journal of Mathematical Sciences》 |2021年第6期|846-859|共14页
作者
A. V. Mikhalev; E. E. Shirshova;
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Moscow State University;

Moscow Pedagogical State University;

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PRIME RADICALS OF DIRECTED PSEUDO-ORDERED RINGS

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