In this paper we show that an A-module is a direct sum of a trivial module and a nosingular module,and we also give the structure of nonsingular module over infinite dimensional simple Novikov algebras of types (Ⅱ) a...In this paper we show that an A-module is a direct sum of a trivial module and a nosingular module,and we also give the structure of nonsingular module over infinite dimensional simple Novikov algebras of types (Ⅱ) and (Ⅲ) over a field F of Characteristic 0.展开更多
In this paper, we discuss FI-extending property of rings and modules. The main results are the following： a characterization of von Neumann regular rings which are two-sided FI-extending is given; sufficient conditio...In this paper, we discuss FI-extending property of rings and modules. The main results are the following： a characterization of von Neumann regular rings which are two-sided FI-extending is given; sufficient conditions for direct summands of FI-extending modules to be FI-extending are obtained; and at last, a necessary and sufficient condition for nonsingular modules over nonsingular rings to be FI-extending is given.展开更多
文摘In this paper we show that an A-module is a direct sum of a trivial module and a nosingular module,and we also give the structure of nonsingular module over infinite dimensional simple Novikov algebras of types (Ⅱ) and (Ⅲ) over a field F of Characteristic 0.
基金The NNSF(10571026)of Chinathe NSF(2005207)of Jiangsu Provincethe Specialized Research Fund(20060286006)for the Doctoral Program of Higher Education.
文摘In this paper, we discuss FI-extending property of rings and modules. The main results are the following： a characterization of von Neumann regular rings which are two-sided FI-extending is given; sufficient conditions for direct summands of FI-extending modules to be FI-extending are obtained; and at last, a necessary and sufficient condition for nonsingular modules over nonsingular rings to be FI-extending is given.
