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Journal of Information and Optimization Sciences Volume 42, 2021 - Issue 7
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Research Article

A study of non-commutative Von-Neumann regular rings

Farkhanda Afzal1 Department of Humanities and Basic Sciences, MCS, National University of Sciences & Technology, Islamabad, Pakistan E-mail: [email protected]
,
Shah Rukh2 Department of Mathematics and Statistics, The University of Lahore, Lahore, Pakistan E-mail: [email protected]
,
Deeba Afzal3 Department of Mathematics and Statistics, The University of Lahore, Lahore, PakistanCorrespondence[email protected]
,
Mohammad Reza Farahani4 Department of Mathematics, Iran University of Science and Technology (IUST), Narmak, Tehran16844, Iran E-mail: [email protected]ORCID Iconhttps://orcid.org/0000-0003-2969-4280
ORCID Icon,
Murat Cancan5 Department of Mathematics Education, Faculty of Education, Van Yüzüncü Yıl University, Van65090, Turkey E-mail: [email protected]
&
Süleyman Ediz6 Department of Mathematics Education, Faculty of Education, Van Yüzüncü Yıl University, Van65090, Turkey E-mail: [email protected]
Pages 1425-1436 | Received 01 Feb 2021, Published online: 08 Apr 2021
 
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Abstract

In this paper, we study the Von-Neumann regular elements of non-commutative rings M2(ℤ2) and M2(ℤ3). We prove that M2(ℤ2) and M3(ℤ3) are Von-Neumann rings. We also give code in C++to compute Von-Neumann regular elements of M2(ℤn).

Subject Classification: (2010):

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