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Twisted matrix units semigroup algebras

W. Edwin Clark
- 01 Sep 1967 - 
- Vol. 34, Iss: 3, pp 417-423
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This article is published in Duke Mathematical Journal.The article was published on 1967-09-01. It has received 212 citations till now. The article focuses on the topics: Bicyclic semigroup & Matrix (mathematics).

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Ore extensions of Baer and p.p.-rings

TL;DR: In this article, the authors investigated the relation between Baer rings and p.p.-rings and showed that the skew power series ring R[[x;α]] is a Baer ring if and only if the skew-power series ring π is a p-rigid ring.
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On annihilator ideals of a polynomial ring over a noncommutative ring

TL;DR: In this article, the set of annihilators in a polynomial ring over a ring was studied, and the relation between the annihilators and the set in R and R was studied.
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Polynomial extensions of quasi-Baer rings

TL;DR: For a ring endomorphism α and an α-derivation δ, the authors introduced α-compatible rings which are a generalization of α-rigid rings, and study on the relationship between the quasi Baerness and p.q.-Baer property of a ring R and those of the polynomial extensions (including formal skew power series, skew Laurent polynomials and skew Laurent series).
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Principally quasi-baer rings

TL;DR: In this paper, a ring with unity is right principally quasi-Baer if the right annihilator of a principal right ideal is generated (as a right ideal) by an idempotent.
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Baer and Quasi-Baer Modules

TL;DR: In this article, the notions of Baer and quasi-Baer properties were introduced in a general module theoretic setting, and it was shown that a module M is Baer if the right annihilator of a (two-sided) left ideal of End(M) is a direct summand of M.