What are the new concepts that were studied in the algebraic system GAMMA NEAR-RING during the year 2013?

More Dr Bhavanari Satyanarayana's questions See All

Do you know the name of the mathematician who introduced the algebraic system "gamma near-ring" and in which year ?

algebraists

06 July 2016 3,833 1 View

Resistor definition in Piezoelectric bimorph with ANSYS workbench

Hello, good day! I am trying to simulate similar bimorph piezoelectric harvester with below commands. However, the output power doesn't change with resistor value. Please help to find the reason. ET,10,CIRCU94,0 !SET UP RESISTOR R,1,100000 !RESISTANCE VALUE TYPE,10 !SET ELEMENT TYPE E,1,2 !CREATE RESISTOR BETWEEN NODES 1 AND 2 Thanks in advance Regards,

02 March 2021 0 0 View

What are the application of Fixed points thoery in Chemistry.?

It is said that fixed point theory has lot of applications not in the field of mathematics only but also in various areas. So I am looking for applications in Chemistry only..

26 February 2021 3,533 1 View

Can I ask did any good platform or journals for learning the calcluation on the reference governors and command governor?

Recently I face some problems with the mathematical ( calculation) on the reference governor and command governor, so I need some help from you all to get which platform or journal can let me...

23 February 2021 7,746 2 View

Special issue on PLS-SEM in Mathematics. Are you interested?

21 February 2021 5,601 3 View

What is the better software for approximation of 3D surface with equations?

I have a massive of x, y, z coordinates of 2D surface in 3D space, which builded in Ansys HFSS or AutoCAD. How can I get the analitical aproximation of this surface by formulas?

21 February 2021 3,444 7 View

How can I obtain a sine function along a path with known equation?

I have a symmetric airfoil with known equation. Now a sine function passes along the airfoil equation like following figure. I want to find the sine function in (x,y) coordinate system.

17 February 2021 1,594 12 View

How can we determine the positive definiteness of multivariable polyomial? Is there any MATLAB function available for that?

Can we check the positive definiteness of a multivariable polynomial using MATLAB functions? Of course in literature, there are few complex methods that use tensor algebra. However, before going...

16 February 2021 1,218 3 View

Does learning mathematics exclusively improve cognitive abilities?

Teaching Mathematics at school to all students is commonly justified by the opinion that it improves their problem-solving skills and "makes them smarter" (whichever measure is implied by this). I...

15 February 2021 7,391 7 View

Can we help fellow mathematicians get free ?

https://terrytao.wordpress.com/2021/02/08/a-statement-from-mathematics-department-faculty-at-stanford-and-mit/ Terry Tao blogged about this unfortunate event. Kindly share among Mathematical...

08 February 2021 1,055 3 View

Theoretical computer virology ? is still alive ?

HI Everyone! I am asking to know by you, expert in cybersecurity and mathematics, if Computer virology (the one of Cohen and Andler) is still an active field of research. That research made in...

08 February 2021 7,613 6 View

Patrick Solé

Are you talking about a computer package or a math structure?

Dr Bhavanari Satyanarayana

I am talking about the mathematical (algebraic) structure GAMMA NEAR-RING

Abul Basar

Γ- Near- Fields and bi-ideals, Commutativity in Prime Gamma Near-Rings with Permuting Tri-derivations, GENERALIZED PSEUDO COMMUTATIVE GAMMA NEAR-RINGS, PRIME GAMMA-NEAR-RINGS WITH (σ, τ)-DERIVATIONS, Fuzzy Ideals , and many more

James F Peters

In addition to what has been observed by @Abul Basar, consider the work on gamma near fields in

E. Domi, Gamma-near-fields and the characterization by bi-ideals, Gen. Math. Notes 19 (1), 2013, 35-42:

http://www.kurims.kyoto-u.ac.jp/EMIS/journals/GMN/yahoo_site_admin/assets/docs/5_GMN-4092-V19N1.346211946.pdf

A gamma near ring is called a gamma near field provided it has an identity element, at least one nonzero element and every nonzero element has a unique inverse element (see page 37). Gamma near fields are characterized by bi-ideals (see Section 4, starting on page 40).

The commutivity of prime gamma near rings is investigated in

A.M. Ibraheem, On the commutativity of prime gamma near rings, IOSR J of Math. 10 (2), 2014, 68-71:

http://www.iosrjournals.org/iosr-jm/full-issue/JM-10(2)v6.pdf

which references earlier work on semiprime gamma near rings (Y.U. Cho and Y.B. Jun, 2002), prime near rings (Y.U. Cho, 2001 and M. Uckun, M.A. Ozturk, Y.B. Jun, 2004).

In my previous post, the link to

A.M. Ibraheem, On the commutativity of prime gamma near rings, IOSR J of Math. 10 (2), 2014, 68-71

should be

http://iosrjournals.org/iosr-jm/papers/Vol10-issue2/Version-6/K010266871.pdf

This is version VI of the paper. I am assuming that this means that this paper went through VI revisions before it was accepted. Perhaps Afrah Mohammed Ibraheem can comment on this.

The numbering of the references for this paper has mistakes. References

[2] and [3] are the same paper, and

[8] and [9] are the same paper.

The paper

M. Uckun, M.A.Ozturk and Y.B.Jun, On prime gamma-near-rings with derivations, Commun. Korean Math. Soc. 19(3), 2004, 427-433

is a very good paper that includes a thorough overview of previous work on gamma-near rings.

please read the following two papers (first two papers of mine ) (i) "The f-prime radical in -near-rings", South-East Asian Bulletin of Mathematics 23 (1999) 507-511.(Zbl 0947.16033), (ii). "A Note on -near-rings", Indian J. Mathematics (B.N. Prasad Birth Centenary commemoration volume) 41(1999) 427-433.(Zbl 1033.16501)