Departmental Bulletin Paper Strongly m -full modules

9 ( 1 )  , pp.100 - 108 , 2018-01独立行政法人国立高等専門学校機構 熊本高等専門学校
We introduce the stongly m - full property for a pair of graded modules, which is stronger than the m - full property but weaker than the componentwise m - full property, and give criteria for strong m - fullness by means of strongly m - full closure. One more property for a pair of graded modules : the m - adic m - fullness is introduced. Using strongly m - full closure , we show that m - adic m - fullness and componentwise m - fullness are equivalent.

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