Frobenius algebras of stanley-reisner rings and maximal free pairs
- ALBERTO F. BOIX
- SANTIAGO ZARZUELA
ISSN: 1132-6360
Year of publication: 2018
Issue Title: Proceedings of the XVI EACA Zaragoza Encuentros de Algebra Computacional y Aplicaciones
Issue: 43
Pages: 87-90
Type: Article
More publications in: Monografías de la Real Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza
Abstract
It is known that the Frobenius algebra of the injective hull of the residue field of a formal power series ring modulo a squarefree monomial ideal can be only principally generated or infinitely generated as algebra over its degree zero piece, and that this fact can be read off in the corresponding simplicial complex; in the infinite case, we exhibit a 1–1 correspondence between potential new generators appearing on each graded piece and certain pairs of faces of such a simplicial complex, that we call maximal free pairs.