We provide a method to calculate the integrations of some augmentations over finite-dimensional algebras, and prove that these integrations are Bochner integrations. Furthermore, let $\mathit{\Lambda}$ be an algebra of ...

We prove that the moduli space of all noncongruent linearly full totally real flat minimal immersions from the complex plane $\mathbb{C}$ into $\mathbb{H}P^3$ that do not lie in $\mathbb{C}P^3$ consists of three components, ...

The prime motivation behind this paper is to prove that any torus link can be realized as the union of the one-dimensional connected components of the set of critical values of the argument map restricted to a complex ...

We establish that rational homology disk smoothings of \linebreak weighted homogeneous surface singularities are always $\mathbb{Q}$-Gorenstein by using their sandwiched structures.

In this manuscript, we construct a class of projective three-weight linear codes and two classes of projective four-weight linear codes over $\mathbb{F}_{2}$ from the defining sets construction, and determine their weight ...

In the context of a complete Riemannian manifold $ M $ and a self-adjoint Codazzi $(1,1)$-tensor field $ P $ defined on it, we establish a Liouville-type theorem concerning the operator $ \Delta_{P,V} $ {which this operator ...

In this article, we will show some algebraic dependence theorems for meromorphic mappings into a projective space sharing few moving hyperplanes with different multiplicities. Our result is an improvement of many previous ...

There are several sufficient conditions in the form of differential inequalities for an analytic function to be a function with positive real part in the open unit disk. However, these conditions are not necessary for ...

Let $\mathfrak{f}$ be a transcendental entire function with hyper-order less than one. The aim of this note is to study the value distribution of the differential-difference monomials $\alpha \mathfrak{f}(z)^{q_0}(\mathf ...

In this paper, we introduce the Fredholm, left (right) Fredholm, and Weyl essential pseudospectra of an element in a Banach algebra. We begin by providing their definitions and then explore various properties of these ...