Gamma—rings and multiplications on abelian groups
作者:
A.J.M. Snyders,
S. Veldsman,
期刊:
Communications in Algebra
(Taylor Available online 1992)
卷期:
Volume 20,
issue 12
页码: 3741-3757
ISSN:0092-7872
年代: 1992
DOI:10.1080/00927879208824539
出版商: Marcel Dekker, Inc.
数据来源: Taylor
摘要:
If M and Γ are abelian groups, then M will be a Γ-ring iff there exists a group homomorphism f from Γ into the group of all multiplications of M, Mult(M), such that f(Γ) satisfies the Generalized Associativity Property on M. In this note we examine the following special cases of this result: (i) M is a Γ-ring satisfying the Nobusawa Condition, (ii) M is a cyclic group, (iii) M is a direct sum of cyclic groups and (iv) M is a Γ-ring that has unity elements.
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