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Paper Information

Title: 

GENERALIZATIONS OF D11 AND D+11 MODULES

Type: PAPER
Author(s): TALAEI B.*,TALEBI Y.
 
 *DEPARTMENT OF MATHEMATICS, FACULTY OF BASIC SCIENCE, UNIVERSITY OF MAZANDARAN BABOLSAR, IRAN
 
Name of Seminar: SEMINAR ON ALGEBRA (SALG20)
Type of Seminar:  CONFERENCE
Sponsor:  TARBIAT MOALLEM UNIVERSITY, FACULTY OF MATHEMATICAL SCIENCES AND COMPUTER
Date:  2009Volume 20
 
 
Abstract: 

Let M be a module. Then M is called a D11 module if any submodule of M has a supplement which is a direct summand of M. Also M is called D+11 if every direct summand of M is D11. In this paper we investigate generalizations of D11 and D+11 modules, namely d-D11 and d-D+11 modules. We will prove that any d-D+11 module M has a decomposition M=M1ÅM2 with d<(M1) <<d M1 and d(M2)=M2.

 
Keyword(s): D11 MODULE, D+11 MODULE, δ–D11 MODULE, –D+11 MODULE
 
 
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