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Abelian groups of zero adjoint entropy

100%

Salce L., Zanardo P.

Colloquium Mathematicum

2010

tom 121

nr 1

45-62

The notion of adjoint entropy for endomorphisms of an Abelian group is somehow dual to that of algebraic entropy. The Abelian groups of zero adjoint entropy, i.e. ones whose endomorphisms all have zero adjoint entropy, are investigated. Torsion groups and cotorsion groups satisfying this condition are characterized. It is shown that many classes of torsionfree groups contain groups of either zero or infinite adjoint entropy. In particular, no characterization of torsionfree groups of zero adjoint entropy is possible. It is also proved that the mixed groups of a wide class all have infinite adjoint entropy.

Fully inert submodules of torsion-free modules over the ring of p-adic integers

81%

Goldsmith B., Salce L., Zanardo P.

Colloquium Mathematicum

2014

tom 136

nr 2

169-178

Fully inert submodules of torsion-free $J_{p}$-modules are investigated. It is proved that if the module considered is either free or complete, these submodules are exactly those which are commensurable with fully invariant submodules; examples are given of torsion-free $J_{p}$-modules for which this property fails.

Ograniczanie wyników

2 Colloquium Mathematicum

2 Salce L.

2 Zanardo P.

1 Goldsmith B.

1 2014

1 2010

Wyniki wyszukiwania

Abelian groups of zero adjoint entropy

Fully inert submodules of torsion-free modules over the ring of p-adic integers