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$A$ -projective resolutions and an Azumaya theorem for a class of mixed abelian groups

Ulrich F. Albrecht — 2001

Czechoslovak Mathematical Journal

The construction of $A$ -solvable Abelian groups

Ulrich F. Albrecht — 1994

Czechoslovak Mathematical Journal

Extension functors on the category of $A$ -solvable abelian groups

Ulrich F. Albrecht — 1991

Czechoslovak Mathematical Journal

Butler groups of infinite rank and axiom 3

Ulrich F. Albrecht; Paul Hill — 1987

Czechoslovak Mathematical Journal

Homomorphisms between $A$ -projective Abelian groups and left Kasch-rings

Ulrich F. Albrecht; Jong-Woo Jeong — 1998

Czechoslovak Mathematical Journal

Glaz and Wickless introduced the class $G$ of mixed abelian groups $A$ which have finite torsion-free rank and satisfy the following three properties: i) $A_{p}$ is finite for all primes $p$ , ii) $A$ is isomorphic to a pure subgroup of $Π_{p} A_{p}$ , and iii) $H o m (A, t A)$ is torsion. A ring $R$ is a left Kasch ring if every proper right ideal of $R$ has a non-zero left annihilator. We characterize the elements $A$ of $G$ such that $E (A) / t E (A)$ is a left Kasch ring, and discuss related results.

Zero-one matrices with an application to abelian groups

Ulrich F. Albrecht; H. Pat Goeters; Charles Megibben — 1993

Rendiconti del Seminario Matematico della Università di Padova

A class of torsion-free abelian groups characterized by the ranks of their socles

Ulrich F. Albrecht; Anthony Giovannitti; H. Pat Goeters — 2002

Czechoslovak Mathematical Journal

Butler groups formed by factoring a completely decomposable group by a rank one group have been studied extensively. We call such groups, bracket groups. We study bracket modules over integral domains. In particular, we are interested in when any bracket $R$ -module is $R$ tensor a bracket group.

A note on coflat abelian groups

Ulrich F. Albrecht; T. Faticoni; H. Pat Goeters — 1994

Czechoslovak Mathematical Journal

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Currently displaying 1 – 8 of 8

$A$ -projective resolutions and an Azumaya theorem for a class of mixed abelian groups

The construction of $A$ -solvable Abelian groups

Extension functors on the category of $A$ -solvable abelian groups

Butler groups of infinite rank and axiom 3

Homomorphisms between $A$ -projective Abelian groups and left Kasch-rings

Zero-one matrices with an application to abelian groups

A class of torsion-free abelian groups characterized by the ranks of their socles

A note on coflat abelian groups