Gluing semigroups and strongly indispensable free resolutions


ŞAHİN M. , Stella L. G.

INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, cilt.29, sa.2, ss.263-278, 2019 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 29 Konu: 2
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1142/s0218196719500012
  • Dergi Adı: INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION
  • Sayfa Sayıları: ss.263-278

Özet

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.