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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: IRANIAN ALGEBRA SEMINAR
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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