Weakly clean and exchange UNI rings

  • P. V. Danchev Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Keywords: Exchange rings, Clean rings, Weakly clean rings, UNI rings, Invo-fine rings, Invo-clean rings, Idempotents, Nilpotents, Involutions, Units

Abstract

We find a criterion for a commutative ring to be weakly clean UNI, as well as a criterion for an exchange ring to have strongly invo-clean unit group. These two assertions somewhat improve earlier author's results (Ukr. Math. J., 2017) and (Internat. J. Algebra, 2017).



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Published
25.12.2019
How to Cite
DanchevP. V. “Weakly Clean and Exchange UNI Rings”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 71, no. 12, Dec. 2019, pp. 1618-25, http://umj.imath.kiev.ua/index.php/umj/article/view/2288.
Section
Research articles