Let 𝔸 nm be an arbitrary n-dimensional commutative associative algebra over the field of
complex numbers with m idempotents. Let e 1= 1, e 2, e 3 be elements of 𝔸 nm which are …

Let $\mathbb {A} _n^ m $ be an arbitrary $ n $-dimensional commutative associative algebra
over the field of complex numbers with $ m $ idempotents. Let $ e_1= 1, e_2,\ldots, e_k …

The idea of an algebraic-analytic approach to equations of mathematical physics means to
find a commutative Banach algebra such that monogenic functions with values in this …

We obtain a constructive description of monogenic functions taking values in a finite-
dimensional commutative algebra with unit and radical of maximal dimensionality by means …

The methods involving the functions analytic in a complex plane for plane potential fields
inspire the search for the analogous efficient methods for solving the spatial and …

Full article: Cauchy theorem for a surface integral in commutative algebras Skip to Main
Content Taylor and Francis Online homepage Taylor and Francis Online homepage Log in …

We consider an arbitrary finite-dimensional commutative associative algebra, A _n^ m A nm,
with unit, over the field of complex number with m idempotents. Let e 1= 1, e 2, e 3 be …

We establish integral theorems for monogenic functions taking values in an infinite-
dimensional commutative Banach algebra associated with spatial potential solenoid fields …

For monogenic (continuous and differentiable in the sense of Gâteaux) functions given in
special real subspaces of an arbitrary finitedimensional commutative associative algebra …

In this chapter, for monogenic functions given in special real subspaces of an arbitrary finite-
dimensional commutative associative algebra over the complex field and taking values in …