Let R be a ring with identity, and R-ill denote the set of all left topologizing filters on R. In this paper, we give a sufficient condition for the commutativity of R-ill under the hypothesis of left Noetherianness, ...Let R be a ring with identity, and R-ill denote the set of all left topologizing filters on R. In this paper, we give a sufficient condition for the commutativity of R-ill under the hypothesis of left Noetherianness, as well as some examples.展开更多
文摘Let R be a ring with identity, and R-ill denote the set of all left topologizing filters on R. In this paper, we give a sufficient condition for the commutativity of R-ill under the hypothesis of left Noetherianness, as well as some examples.