Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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CHARACTERIZATION OF CENTRAL UNITS OF ℤAn

  • Bilgin, Tevfik (DEPARTMENT OF MATHEMATICS FACULTY OF ARTS AND SCIENCES FATIH UNIVERSITY) ;
  • Gorentas, Necat (DEPARTMENT OF MATHEMATICS FACULTY OF ARTS AND SCIENCES YUZUNCU YIL UNIVERSITY) ;
  • Kelebek, I. Gokhan (DEPARTMENT OF MATHEMATICS FACULTY OF ARTS AND SCIENCES FATIH UNIVERSITY)
  • Received : 2009.02.26
  • Published : 2010.11.01
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Abstract

The structure of V(Ƶ($ZA_n$)) is known when $n\leq6$. If n = 5 or 6, then a complete set of generators of V (Ƶ($ZA_n$)) has been deter-mined. In this study, it was shown that V (Ƶ($ZA_n$)) is trivial when n = 7, 8 or 9 and it is generated by a single unit u when n = 10 or 11: This unit u is characterized explicitly for n = 10 or 11 by using irreducible characters of $A_n$.

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References

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