Abstract Given a central simple algebra g g and a Galois extension of base rings S ∕ R S∕R, we show that the maximal ideals of twisted S ∕ R S∕R-forms of the algebra of currents g ( R ) g(R) are in natural bijection with ...

The classical approach to studying operator ideals using tensor norms mainly focuses on those tensor norms and operator ideals defined by means of `p spaces. In a previous paper, an interpolation space, defined via the ...

The present work has as target audience all students who have experience in number theory. Some concepts of commutative algebra will be presented in relation to number theory, more precisely, we will study prime ideals and ...

Classical theory of tensornorms and operator ideals studies mainly those defined by means of sequence spaces lp. Considering Orlicz sequence spaces as natural generalization of lp spaces, in a previous paper [12] an Orlicz ...

In this work we develop a new algebraic methodology which quantizes real-valued channels in order to realize interference alignment (IA) onto a real ideal lattice. Also we make use of the minimum mean square error (MMSE) ...

Given a commutative ring R and S one of its ideals, the function I -- and gt; (I : S) that transforms ideals of R into ideals of R, is right adjoint of the function I -- and gt; IS. We define the S−maximal ideals of R as ...

Given a homogeneous polynomial on a Banach space E belonging to some maximal or minimal polynomial ideal, we consider its iterated extension to an ultrapower of E and prove that this extension remains in the ideal and has ...

Let f be a function in the Douglas algebra A and let I be a finitely generated ideal in A. We give an estimate for the distance from f to I that allows us to generalize a result obtained by Bourgain for H∞ to arbitrary ...