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math.AC2021
Some factorization properties of idealization in commutative rings with zero divisors
Sina Eftekhari, Sayyed Heidar Jafari, Mahdi Reza Khorsandi
We study some factorization properties of the idealization of a module in a commutative ring which is not necessarily a domain. We show that $R \m…
math.AC2020★ 2 cited
On the nonorientable genus of the generalized unit and unitary Cayley graphs of a commutative ring
Mahdi Reza Khorsandi, Seyed Reza Musawi
Let be a commutative ring and let be multiplicative group of unit elements of . In 2012, Khashyarmanesh et al. defined generalized unit and unitary Cayley graph, $Γ(R…
math.AC2016★ 4 cited
MCD-finite Domains and Ascent of IDF Property in Polynomial Extensions
Sina Eftekhari, Mahdi Reza Khorsandi
An integral domain is said to have the IDF property when every non-zero element of it has only a finite number of non-associate irreducible divisors. A counterexample has already b…