International Journal of Algebra and Computation
We study strong indispensability of minimal free resolutions of semigroup rings focusing on the operation of gluing used in literature to take examples with a special property and producenew ones. We give a naive condition to determine whether gluing of two semigroup rings has astrongly 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.
Sahin, Mesut and Stella, Leah Gold, "Gluing Semigroups and Strongly Indispensable Free Resolutions" (2019). Mathematics Faculty Publications. 313.
Preprint of an article published in [International Journal of Algebra and Computation, 29, 2, 2019, 266-278] [10.1142/S0218196719500012] © [copyright World Scientific Publishing Company] https://www.worldscientific.com/doi/10.1142/S0218196719500012
The first author is supported by the Project 114F094 Under the Program 1001 of the Scientific and Technological Research Council of Turkey.