Strongly Gorenstein injective modules with respect to a cotorsion pair
- WANG Zhan-ping, YUAN Kai-ying
JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE). 2019, 54(8):
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As a generalization of strongly Gorenstein injective modules, this paper introduces and studys strongly Gorenstein injective modules with respect to a complete and hereditary cotorsion pair(X,Y), that is, strongly Gorenstein(X∩Y,Y)-injective modules, and give some properties and equivalent characterizations. Moreover, the stability of strongly Gorenstein(X∩Y,Y)-injective modules is studied, and the relation between it and Gorenstein(X∩Y,Y)-injective modules is discussed.