Elasticity in Apéry Sets. Issue 8 (13th September 2020)
- Record Type:
- Journal Article
- Title:
- Elasticity in Apéry Sets. Issue 8 (13th September 2020)
- Main Title:
- Elasticity in Apéry Sets
- Authors:
- Autry, Jackson
Gomes, Tara
O'Neill, Christopher
Ponomarenko, Vadim - Abstract:
- Abstract: A numerical semigroup S is an additive subsemigroup of the nonnegative integers, containing zero, with finite complement. Its multiplicity m is its smallest nonzero element. The Apéry set of S is the set of elements Ap ( S ) = { n ∈ S : n − m ∉ S } . Fixing a numerical semigroup, we ask how many elements of its Apéry set have nonunique factorization and define several new invariants.
- Is Part Of:
- American Mathematical Monthly. Volume 127:Issue 8(2020)
- Journal:
- American Mathematical Monthly
- Issue:
- Volume 127:Issue 8(2020)
- Issue Display:
- Volume 127, Issue 8 (2020)
- Year:
- 2020
- Volume:
- 127
- Issue:
- 8
- Issue Sort Value:
- 2020-0127-0008-0000
- Page Start:
- 744
- Page End:
- 749
- Publication Date:
- 2020-09-13
- Subjects:
- MSC: Primary 20M14 -- Secondary 05A16 -- 11P99
Mathematics -- Periodicals
510.5 - Journal URLs:
- https://www.tandfonline.com/loi/uamm20 ↗
http://www.tandfonline.com/ ↗ - DOI:
- 10.1080/00029890.2020.1790926 ↗
- Languages:
- English
- ISSNs:
- 0002-9890
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library DSC - BLDSS-3PM
British Library HMNTS - ELD Digital store - Ingest File:
- 14289.xml