Constituent Groups of Clifford Semigroups Arising from t-Closure

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/216536The t-class semigroup of an integral domain R, denoted S_t(R), is the semigroup of fractional t-ideals modulo its subsemigroup of nonzero principal ideals with the operation induced by ideal t-multiplication. We recently proved that if R is a Krull-type domain, then S_t(R) is a Clifford semigroup. This paper aims to describe the idempotents of S_t(R) and the structure of their associated groups. We extend and recover well-known results on class semigroups of valuation domains and Prufer domains of finite character.13 pages. To appear in Journal of AlgebraCommutative AlgebraNumber Theory13C20; 13F05; 11R65; 11R29; 20M14Constituent Groups of Clifford Semigroups Arising from t-Closuretext