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math.AC2022
On the Grothendieck ring and the relation of its group of units with the Picard group
Abolfazl Tarizadeh
As the first main result of this article, we prove that if and are idempotents of a commutative ring , then there is a canonical isomorphism of -modules: $$Ae\oplus…
math.AC2016★ 3 cited
Gabriel localization theory and its applications
Abolfazl Tarizadeh
In this article first we develop the Gabriel localizations (abbreviated as G-localizations) for commutative rings, specially some new results in this direction are proven. Then, as…