Regular module
From AoPSWiki
The regular left module of a ring 
is the the left -module
whose underlying group is the additive group , with multiplication
given by left multiplication from . The right regular module is defined
similarly. The left regular -module is sometimes denoted
, and the right regular -module is sometimes denoted 
.
If is a commutative ring, then the two structures are the same
structure, called simply the regular -module.
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