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On regular rings with involution

Pere Ara, +1 more
- 01 Feb 1984 - 
- Vol. 42, Iss: 2, pp 126-130
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This article is published in Archiv der Mathematik.The article was published on 1984-02-01. It has received 28 citations till now. The article focuses on the topics: Involution (mathematics).

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Stable range one for rings with many units

TL;DR: The main purpose of as mentioned in this paper is to prove the stable range 1 condition for a number of classes of rings and algebras, which is a modification of a computation of D.V. Tyukavkin.
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A Solution of the Matrix Problem for Rickart C*‐Algebras

TL;DR: In this article, it was shown that matrix algebras over a RICKART C*-algebra are also UMF-algeses and satisfies polar decomposition.
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Star, left-star, and right-star partial orders in Rickart ∗-rings

TL;DR: In this paper, the star, the left-star and the right-star partial orders of a ring admitting involution are studied and conditions under which these orders are equivalent to the minus partial order are obtained.
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