# Towards a more precise understanding of sets of lengths

Wolfgang A. Schmid^{[1]}

- [1] CMLS, École polytechnique, 91128 Palaiseau cedex, France

Actes des rencontres du CIRM (2010)

- Volume: 2, Issue: 2, page 103-105
- ISSN: 2105-0597

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topSchmid, Wolfgang A.. "Towards a more precise understanding of sets of lengths." Actes des rencontres du CIRM 2.2 (2010): 103-105. <http://eudml.org/doc/196272>.

@article{Schmid2010,

abstract = {This short survey, based on the content of a talk with the same title, summarizes some classical and recent results on the set of differences of an abelian group. We put a certain emphasize on ongoing joint work of A. Plagne and the author. We also briefly review the relevance of this notion in Non-unique Factorization Theory, in particular towards the subject mentioned in the title.},

affiliation = {CMLS, École polytechnique, 91128 Palaiseau cedex, France},

author = {Schmid, Wolfgang A.},

journal = {Actes des rencontres du CIRM},

keywords = {Dedekind domain; factorization; Krull monoid; set of differences; set of lengths; zero-sum sequence},

language = {eng},

number = {2},

pages = {103-105},

publisher = {CIRM},

title = {Towards a more precise understanding of sets of lengths},

url = {http://eudml.org/doc/196272},

volume = {2},

year = {2010},

}

TY - JOUR

AU - Schmid, Wolfgang A.

TI - Towards a more precise understanding of sets of lengths

JO - Actes des rencontres du CIRM

PY - 2010

PB - CIRM

VL - 2

IS - 2

SP - 103

EP - 105

AB - This short survey, based on the content of a talk with the same title, summarizes some classical and recent results on the set of differences of an abelian group. We put a certain emphasize on ongoing joint work of A. Plagne and the author. We also briefly review the relevance of this notion in Non-unique Factorization Theory, in particular towards the subject mentioned in the title.

LA - eng

KW - Dedekind domain; factorization; Krull monoid; set of differences; set of lengths; zero-sum sequence

UR - http://eudml.org/doc/196272

ER -

## References

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