Abstract:Let [Formula: see text] be a commutative ring with a nonzero identity and [Formula: see text] an [Formula: see text]-module. Set [Formula: see text], if [Formula: see text]-[Formula: see text] then [Formula: see text] is called a [Formula: see text]-torsion module. An [Formula: see text]-module [Formula: see text] is said to be [Formula: see text]-flat, if [Formula: see text] is an exact [Formula: see text]-sequence, for any exact sequence of [Formula: see text]-modules [Formula: see text], where [Formula: see… Show more
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