Title of article
Co-Kasch and Co-polyform Abelian Groups
Author/Authors
Amini ، Afshin Department of Mathematics - College of Sciences - Shiraz University , Amini ، Babak Department of Mathematics - College of Sciences - Shiraz University , Momtahan ، Ehsan Department of Mathematics - Faculty of Science - Yasouj University
From page
1
To page
9
Abstract
A submodule N is a co-rational submodule of M provided that Hom(M, N/L) = 0 where L is an arbitrary submodule of N. We call a module co-Kasch if it has no non-zero co-rational submodule. In this paper, among other things, we characterize co-Kasch Z-modules and co-polyform Z-modules (i.e., those modules in which every small submodule is co-rational). We also characterize retractable, monoform and epiform Z-modules.
Keywords
Abelian groups , Co , rational submodules , Co , polyform modules , Retractable modules
Journal title
Bulletin of the Iranian Mathematical Society
Journal title
Bulletin of the Iranian Mathematical Society
Record number
2757095
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