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On the classification of 3-dimensional coloured Lie algebras

Sergei Silvestrov (1997)

Banach Center Publications

In this paper, complex 3-dimensional Γ-graded ε-skew-symmetric and complex 3-dimensional Γ-graded ε-Lie algebras with either 1-dimensional or zero homogeneous components are classified up to isomorphism.

On the construction and the realization of wild monoids

Pavel Růžička (2018)

Archivum Mathematicum

We develop elementary methods of computing the monoid 𝒱 ( R ) for a directly-finite regular ring R . We construct a class of directly finite non-cancellative refinement monoids and realize them by regular algebras over an arbitrary field.

On the derived length of units in group algebra

Dishari Chaudhuri, Anupam Saikia (2017)

Czechoslovak Mathematical Journal

Let G be a finite group G , K a field of characteristic p 17 and let U be the group of units in K G . We show that if the derived length of U does not exceed 4 , then G must be abelian.

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