Related papers: A Note on Some Classes of Function Algebras
This article aims to reinforce the broad applicability of the umbral approach to address complex mathematical challenges and contribute to various scientific and engineering endeavors. The umbral methods are used to reformulate the…
We introduce the good Hilbert functor and prove that it is algebraic. This functor generalizes various versions of the Hilbert moduli problem, such as the multigraded Hilbert scheme and the invariant Hilbert scheme. Moreover, we generalize…
We define a convenient $\infty$-operad parametrizing modules over commutative algebras in $\infty$-categories.
A new algebraic treatment of dependent type theory is proposed using ideas derived from topos theory and algebraic set theory.
Work in progress concerning alternative formalizations of arithmetic.
We construct a generic extension in which the aleph_2 nd canonical function on aleph_1 exists.
This work is a collection of old and new aplications of Galois cohomology to the clasification of algebraic and arithmetical objects.
The intention of these notes is to give a mathematical account of how I believe students could be taught to think about functional programming languages and to explain how such languages work.
In this paper we give simple extension and uniqueness theorems for restricted additive and logarithmic functional equations.
We consider a class of generalized binomials emerging in fractional calculus. After establishing some general properties, we focus on a particular yet relevant case, for which we provide several ready-for-use combinatorial identities,…
In this paper, we give new results concerning the existence of Picard operators on complete metric spaces.
In this paper, we introduce some new classes of algebras related to UP-algebras and semigroups, called a left UP-semigroup, a right UP-semigroup, a fully UP-semigroup, a left-left UP-semigroup, a right-left UP-semigroup, a left-right…
We give a survey of some known and some new results about factors of different sorts of $q-$Fibonacci numbers.
This note gives a simple approach to q-analogues of some results associated with Abel polynomials.
We give some experimental observations on the growth of the norm of certain matrices related to the Mertens function. The results obtained in these experiments convince us that linear algebra may help in the study of Mertens function and…
In this paper, we define a new type multivariable hypergeometric function. Then, we obtain some generating functions for these functions. Furthermore, we derive various families of multilinear and multilateral generating functions for these…
The purpose of this article is to discuss recent advances in the growing field of phase retrieval, and to publicize open problems that we believe will be of interest to mathematicians in general, and algebraists in particular.
In this paper we prove some new series for $1/\pi$ as well as related congruences. We also raise several new kinds of series for $1/\pi$ and present some related conjectural congruences involving representations of primes by binary…
Primarily this paper presents an expository report on alternatives to the traditional methods of classifying representations of finite dimensional algebras. Some new results illustrating such alternatives for algebras with only finitely…
These notes deal with algebras equipped with an involution and related matters.