Andreas Reinhart

activity

20142023

most citedUnique factorization property of non-unique factorization domains II

6 citations · 6 across the 5 of their papers we have counts for

collaborators

Showing 2020Show all

3 papers · 1 filter

math.AC2020

Commutative rings with one-absorbing factorization

Abdelhaq El Khalfi, Mohammed Issoual, Najib Mahdou +1

Let $R$ be a commutative ring with nonzero identity. A. Yassine et al. defined in the paper (Yassine, Nikmehr and Nikandish, 2020), the concept of $1$ -absorbing prime ideals as fol…

math.AC2020

On the arithmetic of stable domains

Aqsa Bashir, Alfred Geroldinger, Andreas Reinhart

A commutative ring $R$ is stable if every non-zero ideal $I$ of $R$ is projective over its ring of endomorphisms. Motivated by a paper of Bass in the 1960s, stable rings have recei…

math.AC2020★ 6 cited

Unique factorization property of non-unique factorization domains II

Gyu Whan Chang, Andreas Reinhart

Let $D$ be an integral domain. A nonzero nonunit $a$ of $D$ is called a valuation element if there is a valuation overring $V$ of $D$ such that $aV \cap D = a D$ . We say that $D$ is a…