摘要
Let M be a non-zero module over an associative (not necessarily commutative) ring. In this paper, we investigate the so-called second and coprime submodules of M. Moreover, we topologize the spectrum Spec-s(M) of second submodules of M and the spectrum Spec-c(M) of coprime submodules of M, study several properties of these spaces and investigate their internlay with the algebraic properties of M.
Let M be a non-zero module over an associative (not necessarily commutative) ring. In this paper, we investigate the so-called second and coprime submodules of M. Moreover, we topologize the spectrum Spec-s(M) of second submodules of M and the spectrum Spec-c(M) of coprime submodules of M, study several properties of these spaces and investigate their internlay with the algebraic properties of M.