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τ -U-FACTORIZATIONS AND THEIR GRAPHS IN COMMUTATIVE RINGS WITH ZERO-DIVISORS

Year 2015, Volume: 18 Issue: 18 , 72 - 91 , 01.12.2015

M. Axtell C. Mooney

https://doi.org/10.24330/ieja.266205
https://izlik.org/JA94RB67GH

Abstract

Let R be a commutative ring with identity, and let τ be a relation
on the nonzero, non-unit elements of R. In this paper we generalize the defi-
nitions of a factorization and a U-factorization via a relation τ and construct
a variety of graphs based on these generalizations. These graphs are then examined
in an effort to determine ring-theoretic properties.

Keywords

Commutative ring irreducible U-factorization τ-factorization graph

Year 2015, Volume: 18 Issue: 18 , 72 - 91 , 01.12.2015

M. Axtell C. Mooney

https://doi.org/10.24330/ieja.266205
https://izlik.org/JA94RB67GH

Abstract

There are 0 citations in total.

Details

Other ID JA24CN57GV
Authors

M. Axtell This is me

C. Mooney This is me

Publication Date December 1, 2015
DOI https://doi.org/10.24330/ieja.266205
IZ https://izlik.org/JA94RB67GH
Published in Issue Year 2015 Volume: 18 Issue: 18

Cite

APA Axtell, M., & Mooney, C. (2015). τ -U-FACTORIZATIONS AND THEIR GRAPHS IN COMMUTATIVE RINGS WITH ZERO-DIVISORS. International Electronic Journal of Algebra, 18(18), 72-91. https://doi.org/10.24330/ieja.266205
AMA 1.Axtell M, Mooney C. τ -U-FACTORIZATIONS AND THEIR GRAPHS IN COMMUTATIVE RINGS WITH ZERO-DIVISORS. IEJA. 2015;18(18):72-91. doi:10.24330/ieja.266205
Chicago Axtell, M., and C. Mooney. 2015. “τ -U-FACTORIZATIONS AND THEIR GRAPHS IN COMMUTATIVE RINGS WITH ZERO-DIVISORS”. International Electronic Journal of Algebra 18 (18): 72-91. https://doi.org/10.24330/ieja.266205.
EndNote Axtell M, Mooney C (December 1, 2015) τ -U-FACTORIZATIONS AND THEIR GRAPHS IN COMMUTATIVE RINGS WITH ZERO-DIVISORS. International Electronic Journal of Algebra 18 18 72–91.
IEEE [1]M. Axtell and C. Mooney, “τ -U-FACTORIZATIONS AND THEIR GRAPHS IN COMMUTATIVE RINGS WITH ZERO-DIVISORS”, IEJA, vol. 18, no. 18, pp. 72–91, Dec. 2015, doi: 10.24330/ieja.266205.
ISNAD Axtell, M. - Mooney, C. “τ -U-FACTORIZATIONS AND THEIR GRAPHS IN COMMUTATIVE RINGS WITH ZERO-DIVISORS”. International Electronic Journal of Algebra 18/18 (December 1, 2015): 72-91. https://doi.org/10.24330/ieja.266205.
JAMA 1.Axtell M, Mooney C. τ -U-FACTORIZATIONS AND THEIR GRAPHS IN COMMUTATIVE RINGS WITH ZERO-DIVISORS. IEJA. 2015;18:72–91.
MLA Axtell, M., and C. Mooney. “τ -U-FACTORIZATIONS AND THEIR GRAPHS IN COMMUTATIVE RINGS WITH ZERO-DIVISORS”. International Electronic Journal of Algebra, vol. 18, no. 18, Dec. 2015, pp. 72-91, doi:10.24330/ieja.266205.
Vancouver 1.M. Axtell, C. Mooney. τ -U-FACTORIZATIONS AND THEIR GRAPHS IN COMMUTATIVE RINGS WITH ZERO-DIVISORS. IEJA. 2015 Dec. 1;18(18):72-91. doi:10.24330/ieja.266205