SEMIRINGS OF SKEW LAURENT POLYNOMIALS

被引：2

作者：

Maslyaev, Dmitriy Andreevich ^{[1
]}

Chermnykh, Vasiliy Vladimirovich ^{[2
]}

机构：

[1] Komi Republican Acad State Serv & Management, 11 Kommunisticheskaya Str, Syktyvkar 167982, Russia

[2] Piritim Sorokin Syktyvkar State Univ, 55 Octyabrskyi Ave, Syktyvkar 167001, Russia

来源：

SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA | 2020年 / 17卷

关键词：

skew polynomial semiring; skew Laurent polynomial semiring; rigid endomorphism; Armendariz semiring; Baer semiring; Rickart semiring; EXTENSIONS;

D O I：

10.33048/semi.2020.17.033

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The paper considers semirings of skew polynomials and semirings of skew Laurent polynomials with rigid endomorphism. It is shown that the semiring S is phi-rigid if and only if the semiring of skew Laurent polynomials S[x(-1), x, phi] is a semiring without nilpotent elements. The concept of the phi-arm-semiring is introduced. It is proved that if S is a phi-arm-semiring, then S is Baer (left Rickart) exactly when S[x(-1), x, phi] is a Baer (resp. left Rickart) semiring.

引用

页码：521 / 533

页数：13

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