Carvajal-Rojas, JavierSmolkin, Daniel2020-03-032020-03-032020-03-032020-04-1510.1016/j.jalgebra.2019.11.017https://infoscience.epfl.ch/handle/20.500.14299/166766WOS:000510309500002Let k be a field of positive characteristic. Building on the work of the second named author, we define a new class of k-algebras, called diagonally F-regular algebras, for which the so-called Uniform. Symbolic Topology Property (USTP) holds effectively. We show that this class contains all essentially smooth if-algebras. We also show that this class contains certain singular algebras, such as the affine cone over P-k(r) x P-k(s) when k is perfect. By reduction to positive characteristic, it follows that USTP holds effectively for the affine cone over P-C(r) x P-C(s) and more generally for complex varieties of diagonal F-regular type. (C) 2019 Elsevier Inc. All rights reserved.Mathematicssymbolic powersfrobeniusideal topologiessingularitiescartier algebrastest idealsequivalencevarietiessignaturepowersboundsringsThe uniform symbolic topology property for diagonally F-regular algebrastext::journal::journal article::research article