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- Title
Gluing semigroups and strongly indispensable free resolutions.
- Authors
Şahi̇n, Mesut; Stella, Leah Gold
- Abstract
We study strong indispensability of minimal free resolutions of semigroup rings focusing on the operation of gluing used in the literature to take examples with a special property and produce new ones. We give a naive condition to determine whether gluing of two semigroup rings has a strongly indispensable minimal free resolution. As applications, we determine simple gluings of 3 -generated non-symmetric, 4 -generated symmetric and pseudo symmetric numerical semigroups as well as obtain infinitely many new complete intersection semigroups of any embedding dimensions, having strongly indispensable minimal free resolutions.
- Subjects
GLUE; DIMENSIONS
- Publication
International Journal of Algebra & Computation, 2019, Vol 29, Issue 2, p263
- ISSN
0218-1967
- Publication type
Article
- DOI
10.1142/S0218196719500012