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

Year 2015, , 72 - 91, 01.12.2015

M. Axtell C. Mooney

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

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, , 72 - 91, 01.12.2015

M. Axtell C. Mooney

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

Abstract

There are 0 citations in total.

Details

Other ID JA24CN57GV
Journal Section Articles
Authors

M. Axtell This is me

C. Mooney This is me

Publication Date December 1, 2015
Published in Issue Year 2015

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 Axtell M, Mooney C. τ -U-FACTORIZATIONS AND THEIR GRAPHS IN COMMUTATIVE RINGS WITH ZERO-DIVISORS. IEJA. December 2015;18(18):72-91. doi:10.24330/ieja.266205
Chicago Axtell, M., and C. Mooney. “τ -U-FACTORIZATIONS AND THEIR GRAPHS IN COMMUTATIVE RINGS WITH ZERO-DIVISORS”. International Electronic Journal of Algebra 18, no. 18 (December 2015): 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 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, 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 2015), 72-91. https://doi.org/10.24330/ieja.266205.
JAMA 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, 2015, pp. 72-91, doi:10.24330/ieja.266205.
Vancouver Axtell M, Mooney C. τ -U-FACTORIZATIONS AND THEIR GRAPHS IN COMMUTATIVE RINGS WITH ZERO-DIVISORS. IEJA. 2015;18(18):72-91.