3 papers
math.AC2022
On Gelfand graded commutative rings
Mohamed Aqalmoun
This paper deals with the graded commutative rings in which every homogeneous prime ideal is contained in a unique homogeneous maximal ideal called Gelfand graded ring. The purpose…
math.AC2022
The homogeneous spectrum of a -graded commutative ring
Mohamed Aqalmoun
Let be the additive group with two elements. In this article, we focus only on -graded commutative ring i.e commutative ring such that $R=R…
math.AC2022
The -flat topology
Mohamed Aqalmoun
For a commutative ring with unit and a multiplicatively closed subset of , we introduce a new topology on the -prime spectrum of calle…