3 citations · 9 across the 30 of their papers we have counts for
Showing 2022Show all
3 papers · 1 filter
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.AC2022
Tame and wild primes in direct products of commutative rings
Abolfazl Tarizadeh
In this work, new progress has been made in understanding the structure of all prime ideals of infinite direct products of commutative rings. In particular, we observe that in an i…
math.AC2022★ 2 cited
On the ideal avoidance property
Justin Chen, Abolfazl Tarizadeh
In this article, we investigate the avoidance property of ideals and rings. Among the main results, a general version of the avoidance lemma is formulated. It is shown that every i…