ABSTRACT
In this article, we study standard graded Artinian level algebras, in particular those whose socle-vector has type 2. Our main results are: the characterization of the level h-vectors of the form (1, r,…,r, 2) for r ≤ 4; the characterization of the minimal free resolutions associated to each of the h-vectors above when r = 3; a sharp upper-bound (under certain mild hypotheses) for the level h-vectors (1,r,…,a, 2) of arbitrary codimension r and type 2, which depends on the next to last entry a.
Mathematics Subject Classification:
ACKNOWLEDGMENTS
We wish to express our warm gratitude to Professor Anthony Iarrobino for sending us the first draft of Iarrobino (to appear) and for his interesting comments on a previous version of this work, and to Professor Mike Roth for giving us a copy of his result (Lemma 4.3).
The results obtained in this article are part of the author's Ph.D. dissertation, written at Queen's University (Kingston, Ontario, Canada), under the supervision of Professor A. V. Geramita.
Notes
Communicated by W. Bruns.