Study fractional ideals over some domains
2019; American Institute of Physics; Volume: 2138; Linguagem: Inglês
10.1063/1.5121038
ISSN1935-0465
AutoresMajid Mohammed Abed, Faisal Al-Sharqi, Ali A. Mhassin,
Tópico(s)Commutative Algebra and Its Applications
ResumoThe aim of this paper is to study fractional ideals over some domains like local ring and principal ideal domain. We verified that any two non-zero fractional ideal in a Dedekind-domain is invertible if and only if it is projective and then it has rank equal one. We introduced the relationship between the fractional ideal and principal ideal domain. Finally, a new results about fractional ideals are investigated.
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