In this paper, various results of reduced and semicommutative rings are extended to reduced and semicommutative modules. In particular, we show: (1) For a principally quasi-Baer module, M_R is semicommutative if and only if M_R is reduced. (2) If M_R is a p.p.-module then M_R is nonsingular.
BAŞER, MUHİTTİN and AGAYEV, NAZIM (2006) "On Reduced and Semicommutative Modules," Turkish Journal of Mathematics: Vol. 30: No. 3, Article 5. Available at: https://journals.tubitak.gov.tr/math/vol30/iss3/5