TY - JOUR
T1 - Gluing semigroups and strongly indispensable free resolutions
AU - Şahin, Mesut
AU - Stella, Leah Helene Gold
PY - 2019/3/1
Y1 - 2019/3/1
N2 - 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.
AB - 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.
KW - free resolutions
KW - indispensability
KW - Semigroup rings
UR - https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85057414897&origin=inward
UR - https://www.scopus.com/inward/citedby.uri?partnerID=HzOxMe3b&scp=85057414897&origin=inward
U2 - 10.1142/S0218196719500012
DO - 10.1142/S0218196719500012
M3 - Article
SN - 0218-1967
VL - 29
SP - 263
EP - 278
JO - International Journal of Algebra and Computation
JF - International Journal of Algebra and Computation
IS - 2
ER -