Associated graded ring

In mathematics, the associated graded ring of a ring R with respect to a proper ideal I is the graded ring:

\operatorname{gr}_I R = \oplus_{n=0}^\infty I^n/I^{n+1}

.

Similarly, if M is a left R-module, then the associated graded module is the graded module over $\operatorname{gr}_I R$ :

\operatorname{gr}_I M = \oplus_0^\infty I^n M/ I^{n+1} M

.

单词	Associated graded ring
释义	Associated graded ring 英语百科 Associated graded ring In mathematics, the associated graded ring of a ring R with respect to a proper ideal I is the graded ring: $\operatorname{gr}_I R = \oplus_{n=0}^\infty I^n/I^{n+1}$ . Similarly, if M is a left R-module, then the associated graded module is the graded module over $\operatorname{gr}_I R$ : $\operatorname{gr}_I M = \oplus_0^\infty I^n M/ I^{n+1} M$ .
随便看	multiple coefficient of correlation的意思 multiple coefficient of determination的意思 multiple cognitive abilities的意思 multiple coherence function的意思 multiple coil的意思 multiplecoil polymerization process的意思 multiple coil polymerization process的意思 multiple coil process的意思 multiplecoil process的意思 multiple coincidence的意思 multiple coincidence circuit的意思 multiple coincidence magnetic memory的意思 multiple coincidence magnetic storage system的意思 multiple coincidence storage的意思 multiple coincidence system的意思 multiple coincident magnetic storage system的意思 multiple collector的意思 multiple collision的意思 multiple collision calculation的意思 multiple collision probability的意思 multiple colloid goiter的意思 multiple colored yarn的意思 multiple color printing machine的意思 multiple color recorder的意思 multiple colour phosphor screen的意思