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DEĞER GRUBU VE REZİDÜ CİSMİ VEYA REZİDÜ CİSMİ VE CİNSİ VERİLEN DEĞERLENMİŞ FONKSİYON CİSİMLERİ HAKKINDA

ON THE VALUED FUNCTION FIELDS WITH GIVEN VALUE GROUP AND RESIDUE FIELD OR WITH GIVEN RESIDUE FIELD AND GENUS

Journal Name:

  • Sigma Mühendislik ve Fen Bilimleri Dergisi

Publication Year:

  • 2006

Key Words:

Keywords (Original Language):

Author NameUniversity of AuthorFaculty of Author

AMS Codes:

Abstract (2. Language): 
The valued function fields with given value group and residue field or with given genus and residue field are studied.
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Abstract (Original Language): 
Bu çalışmada değer grubu ve rezidü cismi veya rezidü cismi ve cinsi verilen değerlenmiş cisimler çalışılmıştır.
FULL TEXT (PDF): 
PDF icon arastrmx_845_24_pp_128-136.pdf
  • 3
128-136
  • Turkish

REFERENCES

References: 

[1] Artin E., Algebraic Numbers and Algebraic Functions, Gordon and Breach, New York,
1972.
[2] Bourbaki N, Commutative Algebra, Hermann, 1972.
[3] Endler. O., Valuation Theory, Springer-Verlag, New York, 1972.
[4] Khanduja S. K., Value groups and simple transcendental extensions, Mathematika, 38
(1991) 381-385.
[5] Khanduja S. K., Prolongations of valuations to simple transcendental extensions with
given residue field an value group, Mathematika 38(1991), 386-390.
[6] Khanduja S. K., On extensions of valuations with prescribed value groups and residue
fields, J Indian Math. Soc. 62 No1-4(1996), 57-60.
[7] Khanduja S. K., Valued function fields with given genus and residue field, J Indian Math.
Soc. 63 No 1-4 (1997), 115-121.
[8] Matignon M. and Ohm J., A structure theorem for extensions of valued fields, Proc.
Amer. Math. Soc, 104(1998), 392-402.
[9] Ohm J., Simple transcendental extensions of valuede fields II: A fundamental inequality, J
Math. Kyoto Univ. 25(1985), 583-596.

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