Скобелев В. В.
О двух последовательностях множеств отображений абстрактных множеств в дедекиндово кольцо

The paper establishes some interrelations between a finite sequence of sets of mappings of an abstract set S to complete residue system of pairwise relatively prime elements of any Dedekind ring and corresponding sequence of sets of mappings of the set S to the complete residue system corresponding to the product of these elements. This interrelation is related to Leng's isomorphic factor-rings theorem. A string model is presented, which is an interpretation of the investigated structures in the case of the ring of integers and of one-element set S. It is shown that the results can be applied to compute the number of combinatorial objects defined in terms of finite residue rings.

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Бібліографічний опис:
Скобелев В. В.  О двух последовательностях множеств отображений абстрактных множеств в дедекиндово кольцо. Кибернетика и системный анализ. 2012. Т. 48, № 2. С. 105-112. URL: http://jnas.nbuv.gov.ua/article/UJRN-0000232252