Frontiers of Mathematics in China >
New results on C11 and C12 lattices with applications to Grothendieck categories and torsion theories
Received date: 18 Oct 2015
Accepted date: 30 Nov 2015
Published date: 30 Aug 2016
Copyright
In this paper, which is a cont inuation of our previous paper [T. Albu, M. Iosif, A. Tercan, The conditions (Ci) in modular lattices, and applications, J. Algebra Appl. 15 (2016), http: dx.doi.org/10.1142/S0219498816500018], we investigate the latticial counterparts of some results about modules satisfying the conditions (C11) or (C12). Applications are given to Grothendieck categories and module categories equipped with hereditary torsion theories.
Toma ALBU , Mihai IOSIF . New results on C11 and C12 lattices with applications to Grothendieck categories and torsion theories[J]. Frontiers of Mathematics in China, 2016 , 11(4) : 815 -828 . DOI: 10.1007/s11464-016-0550-y
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