Currently displaying 1 – 8 of 8

Showing per page

Order by Relevance | Title | Year of publication

About G-rings

Najib Mahdou — 2017

Commentationes Mathematicae Universitatis Carolinae

In this paper, we are concerned with G-rings. We generalize the Kaplansky’s theorem to rings with zero-divisors. Also, we assert that if R T is a ring extension such that m T R for some regular element m of T , then T is a G-ring if and only if so is R . Also, we examine the transfer of the G-ring property to trivial ring extensions. Finally, we conclude the paper with illustrative examples discussing the utility and limits of our results.

When every flat ideal is projective

Fatima CheniourNajib Mahdou — 2014

Commentationes Mathematicae Universitatis Carolinae

In this paper, we study the class of rings in which every flat ideal is projective. We investigate the stability of this property under homomorphic image, and its transfer to various contexts of constructions such as direct products, and trivial ring extensions. Our results generate examples which enrich the current literature with new and original families of rings that satisfy this property.

Gaussian and Prüfer conditions in bi-amalgamated algebras

Najib MahdouMoutu Abdou Salam Moutui — 2020

Czechoslovak Mathematical Journal

Let f : A B and g : A C be two ring homomorphisms and let J and J ' be ideals of B and C , respectively, such that f - 1 ( J ) = g - 1 ( J ' ) . In this paper, we investigate the transfer of the notions of Gaussian and Prüfer rings to the bi-amalgamation of A with ( B , C ) along ( J , J ' ) with respect to ( f , g ) (denoted by A f , g ( J , J ' ) ) , introduced and studied by S. Kabbaj, K. Louartiti and M. Tamekkante in 2013. Our results recover well known results on amalgamations in C. A. Finocchiaro (2014) and generate new original examples of rings possessing these properties.

On quasi n -ideals of commutative rings

Adam AnebriNajib MahdouEmel Aslankarayiğit Uğurlu — 2022

Czechoslovak Mathematical Journal

Let R be a commutative ring with a nonzero identity. In this study, we present a new class of ideals lying properly between the class of n -ideals and the class of ( 2 , n ) -ideals. A proper ideal I of R is said to be a quasi n -ideal if I is an n -ideal of R . Many examples and results are given to disclose the relations between this new concept and others that already exist, namely, the n -ideals, the quasi primary ideals, the ( 2 , n ) -ideals and the p r -ideals. Moreover, we use the quasi n -ideals to characterize some...

Page 1

Download Results (CSV)