Revista Integración, temas de matemáticas

Conductors of fractional ideals in Burnside rings for cyclic p-groups and their zeta function

2025-05-15T20:47:25+00:00

This study is part of the zeta function of the Burnside ring study. The main objective of this paper is to determine the conductors of all isomorphism classes of fractional ideals of finite index in Bp(Cp^n ) the Burnside ring for cyclic groups of order p^n, which leads to a new explicit formula for ζBp(Cp^n )(s) the zeta function of Bp(Cp^n ), and we present a conjecture in which we establish when a fractional ideal M of Bp(Cp^n ) has a Zp-order structure, according to its ZBp(Cp^n ) (M; s) function.

An Introduction to Calculus in the q− Real Spinor Variables

2025-05-15T21:26:16+00:00

In this paper we introduce the calculus in q− real spinor variables. We establish the q− difference operator for q− real spinor variables and the q− spinor real integral formulas. We also define the differential equation on q− real spinor variable, and the suggestions for further work at the end of the paper.

Extended b-metric preserving functions

2025-05-31T18:10:24+00:00

In a previous investigation, we present the current state of the family of functions that preserve the weak ultrametric UD and the set of maps that preserve the extended b–metric BE and their relation to those existing in the literature. In this article, we continue with the investigation by providing a characterization for the space BE, and this fact allows us to verify that the graph of the elements in BE are found in the region proposed by J. Doboš and Z. Piotrowski. Furthermore, we generalize some results from Tammatada Khemaratchatakumthorn, Prapanpong Pongsriiam and Suchat Samphavat.