Finite abelian groups and factorization problems
W. Narkiewicz (1979)
Colloquium Mathematicae
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W. Narkiewicz (1979)
Colloquium Mathematicae
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W. Narkiewicz, J. Śliwa (1982)
Colloquium Mathematicae
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Alexander M. Gal'mak (2001)
Discussiones Mathematicae - General Algebra and Applications
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We prove that the set of all n-ary endomorphisms of an abelian m-ary group forms an (m,n)-ring.
Peter V. Danchev (2005)
Extracta Mathematicae
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Let R be a perfect commutative unital ring without zero divisors of (R) = p and let G be a multiplicative abelian group. Then the Warfield p-invariants of the normed unit group V (RG) are computed only in terms of R and G. These cardinal-to-ordinal functions, combined with the Ulm-Kaplansky p-invariants, completely determine the structure of V (RG) whenever G is a Warfield p-mixed group.
Bruce Ferrero (1978)
Mathematische Annalen
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M.R. Stein, R.C. Alperin, R.K. Dennis (1985)
Inventiones mathematicae
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Dennis Bertholf (1970)
Mathematische Zeitschrift
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W. Narkiewicz (1966)
Colloquium Mathematicae
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Maciej Radziejewski, Wolfgang A. Schmid (2005)
Colloquium Mathematicae
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The investigation of certain counting functions of elements with given factorization properties in the ring of integers of an algebraic number field gives rise to combinatorial problems in the class group. In this paper a constant arising from the investigation of the number of algebraic integers with factorizations of at most k different lengths is investigated. It is shown that this constant is positive if k is greater than 1 and that it is also positive if k equals 1 and the class...
Fred Clare (1976)
Colloquium Mathematicae
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David L. Wehlau (1994)
Manuscripta mathematica
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Henri Johnston (2006)
Acta Arithmetica
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Manabu Ozaki, Hisao Taya (1995)
Manuscripta mathematica
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W. Narkiewicz, J. Śliwa (1978)
Colloquium Mathematicae
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Anne C. Morel (1968)
Colloquium Mathematicae
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Krzysztof Krupiński (2005)
Fundamenta Mathematicae
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A. Geroldinger (1991)
Acta Arithmetica
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