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 …

We obtain a constructive description of monogenic functions taking values in a finite-
dimensional semi-simple commutative algebra by means of holomorphic functions of the …

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 …

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 …

u (x, y, z)= 0(1) in that sense that components of hypercomlex functions satisfy Eq.(1) but the
Hamilton's quaternions form a noncommutative algebra. C. Segre [1] constructed an algebra …

On differentiable and monogenic functions in a harmonic algebra Page 1 Збiрник праць Iн-ту
математики НАН України 2017, том 14, № 1, 210–221 УДК 517.5 SA Plaksa (Institute of …

In this paper, we consider some three-dimensional noncommutative algebra A~ 2 over the
field C, which contains the algebra of bicomplex numbers B (C) as a subalgebra. Locally …

arXiv:1803.03938v1 [math.AC] 11 Mar 2018 Page 1 arXiv:1803.03938v1 [math.AC] 11 Mar
2018 Про моногеннi функцiї, визначенi в рiзних комутативних алгебрах Вiталiй С …