Browsing Algebra and Discrete Mathematics. - № 1 (23). - 2017 by Title

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Galois orders of symmetric differential operators

Futorny, V.; Schwarz, J. (ДЗ "ЛНУ імені Тараса Шевченка", 2017)

In this survey we discuss the theory of Galois rings and orders developed in by Sergey Ovsienko and the first author. This concept allows to unify the representation theories of Generalized Weyl Algebras and of the ...
On representations of the group of order two over local factorial rings in the weakly modular case

Bondarenko, V.M.; Stoika, M.V. (ДЗ "ЛНУ імені Тараса Шевченка", 2017)

We study representations of the group of order 2 over local factorial rings of characteristic not 2 with residue field of characteristic 2. The main results are related to a sufficient condition of wildness of groups.
On the representation type of Jordan basic algebras

Kashuba, I.; Ovsienko, S.; Shestakov, I. (ДЗ "ЛНУ імені Тараса Шевченка", 2017)

A finite dimensional Jordan algebra J over a field k is called basic if the quotient algebra J/ Rad J is isomorphic to a direct sum of copies of k. We describe all basic Jordan algebras J with (Rad J) 2 = 0 of finite and ...
Representations of nodal algebras of type E

Drozd, Y.; Golovashchuk, N.; Zembyk, V. (2017)

We define representation types of nodal algebras of type E.

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