Non-unique factorizations
By Alfred Geroldinger. 2006
136 citations recorded by the source corpus.
View Paper: https://www.semanticscholar.org/paper/c360b55569282e4c98f52952fb0b194ea3453f42
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
- Wolfgang A. Schmid
- Alfred Geroldinger
- Weidong Gao
- Yushuang Fan
- S. Tringali
- David J. Grynkiewicz
- Felix Gotti
- Scott T. Chapman
Citations in the corpus
- Factorization theory in commutative monoids (2019, unknown): “noid satisfying the ACC on principal ideals is atomic. The main focus of factorization theory is on BF-monoids and this will also be the case in the present paper. For any undefined notion we refer to [42]. FACTORIZATION THEORY IN COMMUTATIVE MONOIDS 5 Suppose that H is a BF-monoid. Then L(H) ⊂ P fin(”
- On products of k atoms (2009, methodology): “Our notation and terminology is consistent with [13].”
- Inverse zero-sum problems III (2008, background): “Our notation and terminology are consistent with [10] and [12].”
- Inverse zero-sum problems (2007, background): “The investigation of inverse problems has a long tradition in combinatorial number theory (see [34]), and more recently it has been promoted by applications in the theory of non-unique factorizations (see [30]).”
- Power monoids: A bridge between factorization theory and arithmetic combinatorics (2017, background): “r been centered on rings and monoids, where the structures in play are cancellative. The subject has become more and more popular since the publication of Geroldinger and Halter-Koch’s 2006 monograph [26], which is entirely devoted to the commutative and cancellative case: A more accurate overview o”