
Strongly Gorenstein injective modules with respect to a cotorsion pair
 WANG Zhanping, YUAN Kaiying

JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE). 2019, 54(8):
102107.
doi:10.6040/j.issn.16719352.0.2018.517

Abstract
(
252 )
PDF (330KB)
(
92
)
Save

References 
Related Articles 
Metrics
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.