A study of non-commutative Von-Neumann regular rings

被引：25

作者：

Afzal, Farkhanda ^{[1
]}

Rukh, Shah ^{[2
]}

Afzal, Deeba ^{[2
]}

Farahani, Mohammad Reza ^{[3
]}

Cancan, Murat ^{[4
]}

Ediz, Suleyman ^{[4
]}

机构：

[1] Natl Univ Sci & Technol, Dept Humanities & Basic Sci, MCS, Islamabad, Pakistan

[2] Univ Lahore, Dept Math & Stat, Lahore, Pakistan

[3] Iran Univ Sci & Technol IUST, Dept Math, Tehran 16844, Iran

[4] Van Yuzuncu Yil Univ, Dept Math Educ, Fac Educ, TR-65090 Van, Turkey

来源：

JOURNAL OF INFORMATION & OPTIMIZATION SCIENCES | 2021年 / 42卷 / 07期

关键词：

Regular Rings; Von-Neumann regular elements; Von-Neumann regular rings; ZERO DIVISOR GRAPH; MATRICES;

D O I：

10.1080/02522667.2021.1896650

中图分类号：

G25 [图书馆学、图书馆事业]; G35 [情报学、情报工作];

学科分类号：

1205 ; 120501 ;

摘要：

In this paper, we study the Von-Neumann regular elements of non-commutative rings M-2(Z(2)) and M-2(Z(3)). We prove that M-2(Z(2)) and M-3(Z(3)) are Von-Neumann rings. We also give code in C++ to compute Von-Neumann regular elements of M-2(Z(n)).

引用

页码：1425 / 1436

页数：12

共 10 条

[1] On the left zero divisor graph of 3 x 3 matrices over Z2 [J].

Afzal, Farkhanda ;

Sherwani, Faiza Khan ;

Afzal, Deeba ;

Chaudhry, Faryal .

JOURNAL OF INFORMATION & OPTIMIZATION SCIENCES, 2020, 41 (04) :1043-1060

[2]

Atiyah MF., 1969, Introduction to Commutative Algebra

[3]

Herstein I.N., 2005, NONCOMMUTATIVE RINGS, V15

[4] A study of right zero divisor graph of 3 x 3 matrices over Z2 [J].

Khalaf, Abdul Jalil M. ;

Afzal, Deeba ;

Sherwani, Faiza Khan ;

Maqbool, Ayesha ;

Mahsud, Minhas ;

Afzal, Farkhanda .

JOURNAL OF INFORMATION & OPTIMIZATION SCIENCES, 2020, 41 (08) :1811-1816

[5] Right zero divisor graph of 2x2 matrices over Z3 [J].

Khalaf, Abdul Jalil M. ;

Dilawer, Hina ;

Afzal, Farkhanda ;

Maqbool, Ayesha ;

Afzal, Deeba ;

Chaudhry, Faryal .

JOURNAL OF INFORMATION & OPTIMIZATION SCIENCES, 2020, 41 (08) :1803-1810

[6]

Stratila S.V., 2019, Lectures on von Neumann algebras. Camb.-IISc Ser

[7]

Taloukolaei AJ, 2017, JP J ALGEBR NUMBER T, V39, P205, DOI 10.17654/NT039020205

[8]

Tuganbaev A., 2002, Mathematics and its Applications, V545

[9]

von Neumann J, 1936, P NATL ACAD SCI USA, V22, P707

[10] A family of fifth-order convergent methods for solving nonlinear equations using variational iteration technique [J].

Zhang, Xiujun ;

Shah, Farooq Ahmed ;

Li, Yingfang ;

Yan, Li ;

Baig, Abdul Qudair ;

Farahani, Muhammad Reza .

JOURNAL OF INFORMATION & OPTIMIZATION SCIENCES, 2018, 39 (03) :673-694

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