Displaying similar documents to “A remark on k -systems in groups”

New operations on partial Abelian monoids defined by preideals

Elena Vinceková (2008)

Kybernetika

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We consider partial abelian monoids, in particular generalized effect algebras. From the given structures, we construct new ones by introducing a new operation ⊕ , which is given by restriction of the original partial operation + with respect to a special subset called preideal. We bring some derived properties and characterizations of these new built structures, supporting the results by illustrative examples.

A note on a class of factorized p -groups

Enrico Jabara (2005)

Czechoslovak Mathematical Journal

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In this note we study finite p -groups G = A B admitting a factorization by an Abelian subgroup A and a subgroup B . As a consequence of our results we prove that if B contains an Abelian subgroup of index p n - 1 then G has derived length at most 2 n .