What is algebra???

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Is there any example of simple Abelian ring R which is not domain?

A ring R is simple if it has no two-sided ideal. A ring R is Abelian if each idempotent in R is central and R is domain if for each a,b in R, ab=0 implies that a=0 or b=0.

01 February 2020 6,232 7 View

What is the equivalent conditions for strongly \pi regular rings?

hello im looking for a equivalent conditions for strpngly \pi regular rings. a ring R is said to be strongly \pi regular if for each x in R there exist a y in R such that x^n = (x ^(n+1))y. do...

31 December 2018 1,584 3 View

Dose 'endomorphism ring of power series rings' has a special properties ?

hi i want to know about endomorphism ring of power series rings. if anyone know about that or road a paper about that please share it with me. thank you

03 April 2018 9,366 2 View

Idempotent in strongly $\pi$ regular rings?

What is the idempotent in strongly pi regular rings? Is them trival or have a special property? A ring R is said to be strongly pi regular if for each a in R we can find some x in R such that...

09 October 2017 8,361 1 View

Are those true words?

Ring theory is a old topic and almost there isn't any job for a ring theorist. Ring theory has no good topics for research and maybe we don't need any ring theorists in our future.

07 August 2017 5,568 2 View

Why 1+(er-ere) is a unit?

06 July 2016 8,808 1 View

I don't see why 1 can be written as this finite sum in semisimple ring?

01 February 2015 757 11 View

What do you know about biotechnology art?

02 March 2021 1,653 3 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

Is there any research Mathematical perceptions depending on type of personalities?

My dissertation thesis is Perceptions of mathematical ceonceptions depending on Myers-Briggs Type Indicator personalities. It can includes methods of solving, understanding, imaginations of math...

07 February 2021 9,880 4 View

Matrix based scientific data analysis: extrapolating to matrices of sets?

Data sets, when structured, can be put in vector form (v(1)...v(n)), adding time dependency it's v(i, t) for i=1...n and t=1...T. Then we have a matrix of terms v(i, j)... Matrices are important,...

30 January 2021 9,295 6 View

Best books to self study number theory and especially diophantine equations?

Hi, I'm an undergraduate math student. I've already passed linear and abstract algebra and recently passed a course in elementary number theory and I really enjoyed it. now I wanna self-study more...

25 January 2021 4,279 17 View

Is anyone aware of any freely available databases of normed works of art?

I am specifically interested in works of art for which ratings on multiple dimensions are readily available--for instance, ratings of beauty or of liking that were acquired from a sample of...

18 January 2021 296 5 View

Algebraic Loop Problem in PV array Solution?

I am doing a project with PV array in Simulink. When I run small section of the total system i do not get an error. But when i integrate full system(my system model`s are completely okay) I get an...

18 January 2021 685 10 View

Is there a link between the Chu-construction and the Cayley-Dickson-construction ?

The Chu-Construction allows to obtain a *-autonomous category from the data of a closed symmetric monoidal category and a dualizing element. The Cayley-Dickson-construction builds an algebra B =...

06 January 2021 7,737 10 View

What mathematics is needed to program quantum computers?

Quantum programming As we know, old computers work according to the rules of Boolean logic and classical set theory . On the other hand there is a discussion about quantum computers nowadays. If...

21 December 2020 275 4 View

4D rotations and rotors.. can a general expression be derived?

I recently asked in math stackexchange a question regarding 3D rotations in geometric algebra https://math.stackexchange.com/questions/3922021/angle-and-plane-of-rotation-in-3d-geometric-algebra....

07 December 2020 5,630 26 View