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Ternary Hopf algebras

Zekoviс, Biljana (ДЗ "Луганський національний університет імені Тараса Шевченка, 2005)

In this paper we introduce the notion of a ternary Hopf algebra and prove that it can be embedded into a universal enveloping Hopf algebra.
Topological semigroups of matrix units

Gutik, Oleg V.; Pavlyk, Kateryna P. (ДЗ "Луганський національний університет імені Тараса Шевченка, 2005)

We prove that the semigroup of matrix units is stable. Compact, countably compact and pseudocompact topologies on the infinite semigroup of matrix units B such that (B , ) is a semitopological (inverse) semigroup are ...
Two-generated graded algebras

Shirikov, Evgenij N. (ДЗ "Луганський національний університет імені Тараса Шевченка, 2005)

The paper is devoted to classification of two-generated graded algebras. We show that under some general assumptions there exist two classes of these algebras, namely quantum polynomials and Jordanian plane. We study prime ...

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