Almost factoriality of integral domains and Krull-like domains
โ Scribed by Chang, Gyu Whan; Kim, Hwankoo; Lim, Jung Wook
- Book ID
- 120066353
- Publisher
- Mathematical Sciences Publishers
- Year
- 2012
- Tongue
- English
- Weight
- 613 KB
- Volume
- 260
- Category
- Article
- ISSN
- 0030-8730
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Though Euclidean domains are principal ideal domains, the converse is known to be false. We develop a notion like that of the Euclidean ring for which the converse is true. We similarly give new characterizations of Dedekind, Krull, and unique factorization domains. We also introduce the idea of ind
We investigate two classes of monoids and integral domains, called inside and outside factorial, whose definitions are closely related in a divisor-theoretic manner to the concept of unique factorization. We prove that a monoid is outside factorial if and only if it is a Krull monoid with torsion cl