4 research outputs found
Gluing semigroups and strongly indispensable free resolutions
We study strong indispensability of minimal free resolutions of semigroup
rings. We focus on two operations, gluing and extending, used in literature to
produce more examples with a special property from the existing 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
extensions of -generated non-symmetric, -generated symmetric and pseudo
symmetric numerical semigroups as well as obtain infinitely many complete
intersection semigroups of any embedding dimension, having strongly
indispensable minimal free resolutions.Comment: Internat. J. Algebra Compu