The group of multiplications for an almost completely decomposable group
Abstract
The groups of multiplications and the absolute principal ideals are described in the present paper for the rigid almost completely decomposable groups of the ring type with the cyclic regulator factor. It is shown that every absolute ideal is a fully invariant subgroup of such group.
About the Authors
E. I. Kompantseva
ТВиМС, МПГУ
Russian Federation
Russian Federation
A. A. Fomin
МПГУ
Russian Federation
Russian Federation
References
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2. McLean K.R. The additive adeals of a p-ring // J. London Math. Soc. 1975. V.2. P. 523-529.
3. Blagoveshchenskaya E.A. Pochti vpolne razlozhimye abelevy gruppy i ih kol'tsa endomorfizmov. SPb: Politekhnicheskiy universitet, 2009.
4. Kompantseva E.I. Rings on almost completely decomposable Abelian groups // J. of Mathematical Sciences. 2009. V. 163, № 6. P. 688-693.
Review
For citations:
Kompantseva E.I., Fomin A.A. The group of multiplications for an almost completely decomposable group. Civil Aviation High Technologies. 2015;(222):153-158. (In Russ.)
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