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τ-IRREDUCIBLE DIVISOR GRAPHS IN COMMUTATIVE RINGS WITH ZERO-DIVISORS

Yıl 2016, , 45 - 69, 01.12.2016
https://doi.org/10.24330/ieja.266183

Öz

In this paper, we combine research done recently in two areas
of factorization theory. The first is the extension of τ-factorization to commutative
rings with zero-divisors. The second is the extension of irreducible
divisor graphs of elements from integral domains to commutative rings with
zero-divisors. We introduce the τ-irreducible divisor graph for various choices
of associate and irreducible. By using τ-irreducible divisor graphs, we find
that we are able to obtain, as subcases, many of the graphs associated with
commutative rings which followed from the landmark 1988 paper by I. Beck.
We then are able to use these graphs to give alternative characterizations of
τ-finite factorization properties previously defined in the literature.

Yıl 2016, , 45 - 69, 01.12.2016
https://doi.org/10.24330/ieja.266183

Öz

Toplam 0 adet kaynakça vardır.

Ayrıntılar

Konular Matematik
Diğer ID JA99SE43RK
Bölüm Makaleler
Yazarlar

Christopher Park Mooney Bu kişi benim

Yayımlanma Tarihi 1 Aralık 2016
Yayımlandığı Sayı Yıl 2016

Kaynak Göster

APA Mooney, C. P. (2016). τ-IRREDUCIBLE DIVISOR GRAPHS IN COMMUTATIVE RINGS WITH ZERO-DIVISORS. International Electronic Journal of Algebra, 20(20), 45-69. https://doi.org/10.24330/ieja.266183
AMA Mooney CP. τ-IRREDUCIBLE DIVISOR GRAPHS IN COMMUTATIVE RINGS WITH ZERO-DIVISORS. IEJA. Aralık 2016;20(20):45-69. doi:10.24330/ieja.266183
Chicago Mooney, Christopher Park. “τ-IRREDUCIBLE DIVISOR GRAPHS IN COMMUTATIVE RINGS WITH ZERO-DIVISORS”. International Electronic Journal of Algebra 20, sy. 20 (Aralık 2016): 45-69. https://doi.org/10.24330/ieja.266183.
EndNote Mooney CP (01 Aralık 2016) τ-IRREDUCIBLE DIVISOR GRAPHS IN COMMUTATIVE RINGS WITH ZERO-DIVISORS. International Electronic Journal of Algebra 20 20 45–69.
IEEE C. P. Mooney, “τ-IRREDUCIBLE DIVISOR GRAPHS IN COMMUTATIVE RINGS WITH ZERO-DIVISORS”, IEJA, c. 20, sy. 20, ss. 45–69, 2016, doi: 10.24330/ieja.266183.
ISNAD Mooney, Christopher Park. “τ-IRREDUCIBLE DIVISOR GRAPHS IN COMMUTATIVE RINGS WITH ZERO-DIVISORS”. International Electronic Journal of Algebra 20/20 (Aralık 2016), 45-69. https://doi.org/10.24330/ieja.266183.
JAMA Mooney CP. τ-IRREDUCIBLE DIVISOR GRAPHS IN COMMUTATIVE RINGS WITH ZERO-DIVISORS. IEJA. 2016;20:45–69.
MLA Mooney, Christopher Park. “τ-IRREDUCIBLE DIVISOR GRAPHS IN COMMUTATIVE RINGS WITH ZERO-DIVISORS”. International Electronic Journal of Algebra, c. 20, sy. 20, 2016, ss. 45-69, doi:10.24330/ieja.266183.
Vancouver Mooney CP. τ-IRREDUCIBLE DIVISOR GRAPHS IN COMMUTATIVE RINGS WITH ZERO-DIVISORS. IEJA. 2016;20(20):45-69.