“School of Mathematics”

Back to Papers Home
Back to Papers of School of Mathematics

Paper   IPM / M / 7729
School of Mathematics
  Title:   A new characterization of commutative Artinian rings
  Author(s): 
1.  K. Divaani-Aazar
2.  A. Mafi
  Status:   Published
  Journal: Vietnam J. Math.
  Vol.:  32
  Year:  2004
  Pages:   319-322
  Supported by:  IPM
  Abstract:
Let R be a commutative Noetherian ring. It is shown that R is Artinian if and only if every R-module is good, if and only if every R-module is representable. As a result, it follows that every nonzero submodule of any representable R-module is representable if and only if R is Artinian. This provides an answer to a question which is investigated in [1].

Download TeX format
back to top
Clients Logo
Clients Logo
Clients Logo
Clients Logo
Clients Logo
Clients Logo
Clients Logo
Clients Logo
scroll left or right