primary submodule

primary submodule

[′prī‚mer·ē səb′mä·jəl]
(mathematics)
A submodule N of a module M over a commutative ring R such that MN and, for any a in R, the principal homomorphism of the factor module M/N associated with a, aM / N , is either injective or nilpotent.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
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