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cyclic module
In mathematics, more specifically in ring theory, a cyclic module is a module which is generated by one element over a ring. The concept is analogous to cyclic group, that is, a group which is generated by one element.
== Definition ==
A left ''R''-module ''M'' is called cyclic if ''M'' can be generated by a single element i.e. ''M'' = (''x'') = ''R x'' = for some ''x'' in ''M''. Similarly, a right ''R''-module ''N'' is cyclic, if ''N'' = ''y R'' for some ''y'' ∈ ''N''.
抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』
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