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 6,516 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 1,814 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 9,585 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 8,564 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 5,735 2 View

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

let R be a ring and e be a idempotent and r is an element of a ring R why 1+(er-ere) is a unit?

06 July 2016 8,976 1 View

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

"The simple submodules of R (as a module over R ) are exactly the minimal left ideals of R . So R=⨁ S i where each S i is a minimal left ideal...'' Then comes the part that I don't...

01 February 2015 907 11 View

Ternary in Electrical Engineering?

Dear Research Community I would like to invite Elctrical Engineering specialists to solve problems related to Ternary Algebra or tripple sets I have an algorithm that places in relation three...

28 July 2024 5,771 2 View

I’m looking for some papers with focus on Peasants in the Middle Ages and their influence on art. Does someone have any suggestions, ideas?

I’m very thankful for any inputs :)

19 May 2024 8,995 0 View

Do you think that AI and the solutions created with its help can contribute to the development (creation) of a new style in architecture?

New styles in architecture are often created along with the changing requirements of the world and social and cultural life. It is also related to the invention of new building materials. An...

17 May 2024 3,359 13 View

Where do i get a journal that have fast publication time in the Field of Arts and aesthetics ? ?

i need a journal that takes maximum 2 months to publish . Q1 or Q2

17 May 2024 9,318 2 View

Could you recommend some excellent primary school art works?

"Artistic Dreams and Paintings - Colorful Seeds" children's art exhibition will be held in Hall 1, 2 and 3 of Hunan Art Museum, China, from July 12 to August 20, 2024. This is the first exhibition...

05 May 2024 4,314 0 View

Seeking recommendations for a book on optimization?

I'm seeking recommendations for a book on optimization for undergraduate math students proficient in multivariable calculus and linear algebra. Any suggestions would be greatly valued.

01 May 2024 6,536 4 View

Does art therapy have a positive effect on undergraduates in Sri lanka ?

psychological mentally good therapy is art therapy

27 April 2024 3,802 1 View

[STATISTICS] How to do analysis of correlation from multiple-timepoints measurements?

Hi, I would like to ask for a help from the Research Gate community regarding a statistical analysis. My case is analyzing the association between the concentration of HIV DNA prior to therapy...

25 April 2024 7,702 0 View

Given the current Cyber Security challenges, what mathematical tools are available to model and simulate future cyber attacks in a predictive manner?

The current dynamic innovation, research, and development in the fields of Artificial Intelligence (AI), Ultra-Smart Computation, Applied Mathematics, Modeling and Simulation, and Fast Internet,...

18 April 2024 2,876 2 View

How can we create these plots?

how can we create these plots? a 3-dimensional look and showing strength with colour, which software does create these pictures? source of image: Directive giant upconversion by supercritical...

02 April 2024 9,999 4 View