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Let G be a group with identity e. Let R be a G -graded commutative ring and M a graded R -module. In this paper we will obtain some results concerning the graded comultiplication modules over a commutative graded ring. Atani S. Escoriza J. Ghiasvand P. Oral K. H, Tekir U. Zamani N.
Ansari-Toroghy H. Nastasescu C. LNM Berlin-Heidelberg: Springer-Verlag, Refai M. Open Access. About Us. English Deutsch. Sign In Create Profile. Advanced Search Help. Subject Areas Subject Areas.
Khaldoun Al-Zoubi kfzoubi just. Access Metrics. Keywords: Graded comultiplication module ; Graded multiplication module ; Graded submodule ; 13A02 ; 16W Export References. Open Mathematics. Details Open Mathematics is a fully peer-reviewed, open access, electronic journal that publishes significant and original works in all areas of mathematics.
Some properties of graded comultiplication modules
Abstract: Let G be a group with identity e. Let R be a G-graded commutative ring and M a graded R-module. In this paper we will obtain some results concerning the graded comultiplication modules over a commutative graded ring. Graded multiplication modules gr-multiplication modules over commutative graded ring have been studied by many authors extensively see . As a dual concept of gr-multiplication modules, graded comultiplication modules gr-comultiplication modules were introduced and studied by Ansari-Toroghy and Farshadifar .
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Surveys in Mathematics and its Applications. ISSN electronic , print Volume 14 , 61 -- The concept of comultiplication as a dual notion of multiplication modules was introduced and studied by H. Ansari-Toroghy and F. Farshadifar in This notion has obtained a great attention by many authors and now there is a considerable amount of research concerning this class of modules.