most citedMCD-finite Domains and Ascent of IDF Property in Polynomial Extensions

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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.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…