3 citations · 9 across the 30 of their papers we have counts for
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Spectral closures of an infinite subset of the prime spectrum
Abolfazl Tarizadeh
In the literature, there is no known general method (formula) to compute the Zariski closure of an ``infinite'' subset of the prime spectrum. This problem indeed deals with the pri…
Grading of homogeneous localization by the Grothendieck group
Abolfazl Tarizadeh
The main result of this article is a fantastic generalization of a classical result in graded ring theory. In fact, our result states that if is a multiplicative set of homogen…
Homogeneity of zero-divisors, units and idempotents in a graded ring
Abolfazl Tarizadeh
In this article we prove several important results on graded rings, especially monoid-rings, that are motivated and inspired by Kaplansky's zero-divisor, unit and idempotents conje…
Some notes on topological rings and their groups of units
Abolfazl Tarizadeh
If is a topological ring then , the group of units of , with the subspace topology is not necessarily a topological group. This leads us to the following natural d…