New evidence for Green's conjecture on syzygies of canonical curves
Notes on generalizations of Bézout rings
In this paper, we give new characterizations of the --Bézout property of trivial ring extensions. Also, we investigate the transfer of this property to homomorphic images and to finite direct products. Our results generate original examples which enrich the current literature with new examples of non--Bézout --Bézout rings and examples of non--Bézout --Bézout rings.
Notes on the multiplicity conjecture.
New cases of the multiplicity conjecture are considered.