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
The time-dependent solution of a kind of supply chain system with the multi-suppliers and single demander is investigated in this paper.By choosing state space and defining operator of system,we transfer model into an...The time-dependent solution of a kind of supply chain system with the multi-suppliers and single demander is investigated in this paper.By choosing state space and defining operator of system,we transfer model into an abstract Cauchy problem.We are devoted to studying the unique existence of the system solution and its exponential stability by using the theory of C_(0)-semigroup.We prove that the system operator generates C_(0)-semigroup by the theory of cofinal operator and resolvent positive operator.We derive that the system has a unique nonnegative dynamic solution exponentially converging to its steady-state one which is the eigenfunction corresponding eigenvalue 0 of the system operator.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.
基金Premium Funding Project for Academic Human Resources Development in Beijing Union University(BPHR2020CZ06)。
文摘The time-dependent solution of a kind of supply chain system with the multi-suppliers and single demander is investigated in this paper.By choosing state space and defining operator of system,we transfer model into an abstract Cauchy problem.We are devoted to studying the unique existence of the system solution and its exponential stability by using the theory of C_(0)-semigroup.We prove that the system operator generates C_(0)-semigroup by the theory of cofinal operator and resolvent positive operator.We derive that the system has a unique nonnegative dynamic solution exponentially converging to its steady-state one which is the eigenfunction corresponding eigenvalue 0 of the system operator.
