TY - JOUR AU - Anderson, D. D. AU - Camillo, Victor PY - 2003/09/30 Y2 - 2024/03/29 TI - Annihilator-semigroup rings JF - Tamkang Journal of Mathematics JA - Tamkang J. Math. VL - 34 IS - 3 SE - Papers DO - 10.5556/j.tkjm.34.2003.313 UR - https://journals.math.tku.edu.tw/index.php/TKJM/article/view/313 SP - 223-229 AB - Let $ R $ be a commutative ring with 1. We define $ R $ to be an annihilator-semigroup ring if $ R $ has an annihilator-Semigroup $ S $, that is, $ (S, \cdot) $ is a multiplicative subsemigroup of $ (R, \cdot) $ with the property that for each $ r \in R $ there exists a unique $ s \in S $ with $ 0 : r = 0 : s $. In this paper we investigate annihilator-semigroups and annihilator-semigroup rings. ER -