2005

Ternary Hopf algebras

2020-01-24T21:35:49Z

Ternary Hopf algebras Zekoviс, Biljana 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. Ternary Hopf algebras / Biljana Zekoviс // Algebra and Discrete Mathematics. - 2005. - № 3. - 96-106.

A note on c-normal subgroups of finite groups

2020-01-24T21:34:40Z

A note on c-normal subgroups of finite groups Skiba, Alexander N. Let G be a finite group. We fix in every noncyclic Sylow subgroup P of G some its subgroup D satisfying 1 <|D| < |P| and study the structure of G under assumption that all subgroups H of P with |H| = |D| are c-normal in G. A note on c-normal subgroups of finite groups / Alexander N. Skiba // Algebra and Discrete Mathematics. - 2005. - № 3. - 85-95.

Two-generated graded algebras

2020-01-24T21:34:22Z

Two-generated graded algebras Shirikov, Evgenij N. 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 spectrum, the semigroup of endomorphisms and the Lie algebra of derivations of Jordanian plane. Two-generated graded algebras / Evgenij N. Shirikov // Algebra and Discrete Mathematics. - 2005. - № 3. - 60-84.

On square-Hamiltonian graphs

2020-01-24T21:35:59Z

On square-Hamiltonian graphs Protasova, K. D. A finite connected graph G is called square-Hamiltonian if G2 is Hamiltonian. We prove that any join of the family of Hamiltonian graphs by tree is square-Hamiltonian. Applying this statement we show that the line graph and any round-about reconstruction of an arbitrary finite connected graph is square-Hamiltonian. On square-Hamiltonian graphs / K. D. Protasova // Algebra and Discrete Mathematics. - 2005. - № 3. - 56-59.