A note on minimal horseshoe lemma. (English) Zbl 1217.18013
Summary: We give a necessary and sufficient condition which unifies all the conditions provided by G.-J. Wang and F. Li [Taiwanese J. Math. 12, No. 2, 373–387 (2008; Zbl 1143.18012)] for the horseshoe lemma to be true in the minimal version.
MSC:
| 18G05 | Projectives and injectives (category-theoretic aspects) |
| 16S37 | Quadratic and Koszul algebras |
| 16W50 | Graded rings and modules (associative rings and algebras) |
| 16E30 | Homological functors on modules (Tor, Ext, etc.) in associative algebras |
| 16E40 | (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) |
