On the topological structure of the (non-)finitely generated locus of Frobenius algebras emerging from Stanley–Reisner rings.

Autor: Gallego, Edisson, Vélez, Juan D., Molina, Sergio D., Hernandez-Rodas, Juan P., Gómez-Ramírez, Danny A. J.
Předmět:
Zdroj: Communications in Algebra; 2023, Vol. 51 Issue 1, p414-423, 10p
Abstrakt: Let U be the set of prime ideals P of the completion of a Stanley–Reisner ring S, such that the localization at P of the Frobenius algebra of the injective hull of the residue field of S is a finitely generated algebra. We give a partial answer to a conjecture made by M. Katzman about the openness of U. Specifically, we show that U has non-empty interior and we present some sufficient conditions for a principal open set D(f) to be contained in U, and for intersections of closed and principal opens to be contained in the complement of U. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index