Gluing semigroups and strongly indispensable free resolutions

M Şahi̇n, LG Stella - International Journal of Algebra and …, 2019 - World Scientific
M Şahi̇n, LG Stella
International Journal of Algebra and Computation, 2019World Scientific
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 …
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 -generated non-symmetric, -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.
World Scientific
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