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

Christopher Park Mooney

doi:https://doi.org/10.24330/ieja.266183

Makale detayları

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

Yazarlar:

Christopher Park Mooney

Yayıncı:

Abdullah HARMANCI

Ana Başlıklar:

Matematik

Dergi:

International Electronic Journal of Algebra 2016 Vol.20 Issue 20, pp.45-69

Belge Tipi:

Makale

Yayın Tarihi:

11/2016

Belge Dili:

Türkçe

Document ID (Org No.):

2000718099

Sıklık:

Aylık

eISSN:

1306-6048

pISSN:

1306-6048

DOI:

https://doi.org/10.24330/ieja.266183

Özet:

 

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.

Makale detayları

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

Yazarlar: Christopher Park Mooney

Yayıncı: Abdullah HARMANCI

Ana Başlıklar: Matematik

Dergi: International Electronic Journal of Algebra 2016 Vol.20 Issue 20, pp.45-69

Belge Tipi: Makale

Yayın Tarihi: 11/2016

Belge Dili: Türkçe

Document ID (Org No.): 2000718099

Sıklık: Aylık

eISSN: 1306-6048

pISSN: 1306-6048

DOI: https://doi.org/10.24330/ieja.266183

Sayı

Yazarlar:

Christopher Park Mooney

Yayıncı:

Abdullah HARMANCI

Ana Başlıklar:

Matematik

Dergi:

International Electronic Journal of Algebra 2016 Vol.20 Issue 20, pp.45-69

Belge Tipi:

Makale

Yayın Tarihi:

11/2016

Belge Dili:

Türkçe

Document ID (Org No.):

2000718099

Sıklık:

Aylık

eISSN:

1306-6048

pISSN:

1306-6048

DOI:

https://doi.org/10.24330/ieja.266183