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Commutative Endomorphism Rings

open access: yesCanadian Journal of Mathematics, 1971
The problem of classifying the torsion-free abelian groups with commutative endomorphism rings appears as Fuchs’ problems in [ 4 , Problems 46 and 47]. They are far from solved, and the obstacles to a solution appear formidable (see [ 4; 5 ]).
J. Zelmanowitz
openaire   +3 more sources

Finite Commutative Rings and Their Applications

open access: yes, 2002
Finite Commutative Rings and their Applications is the first to address both theoretical and practical aspects of finite ring theory. The authors provide a practical approach to finite rings through explanatory examples, thereby avoiding an abstract presentation of the subject.
Bini, G, FLAMINI, FLAMINIO
openaire   +5 more sources

Commutativity of rings with derivations

Acta Mathematica Hungarica, 2010
The authors extend a theorem of \textit{H. E. Bell} and \textit{M. N. Daif} [Acta Math. Hung. 66, No. 4, 337-343 (1995; Zbl 0822.16033)] proving that the commutativity of a unital prime ring with a non-zero derivation is equivalent to several conditions on derivations of some powers (Theorem 2.2). Under the additional assumption that the identity is in
Andima, S., Pajoohesh, H.
openaire   +2 more sources

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