Generalized Irreducible Divisor Graphs

REFERENCES

• Anderson , D. D. , Anderson , D. F. , Zafrullah , M. ( 1990 ). Factorization in Integral Domains . J. Pure Appl. Algebra. 69 : 1 – 19 .
   Web of Science ®Google Scholar
• Anderson , D. D. , Frazier , A. M. ( 2011 ). On a general theory of factorization in integral domains . Rocky Mountain J. Math. 41 : 663 – 705 .
   Web of Science ®Google Scholar
• Anderson , D. D. , Naseer , M. ( 1993 ). Beck's coloring of a commutative ring . J. Algebra 159 : 500 – 514 .
   Web of Science ®Google Scholar
• Anderson , D. F. , Frazier , A. , Lauve , A. , Livingston , P. S. ( 2001 ). The zero-divisor graph of a commutative ring. II , Ideal theoretic methods in commutative algebra (Columbia, MO, 1999), Lecture Notes in Pure and Appl. Math., 220 , New York : Dekker , pp. 61 – 72 .
   Google Scholar
• Anderson , D. F. , Livingston , P. S. ( 1999 ). The zero-divisor graph of a commutative ring . J. Algebra 217 : 434 – 447 .
   Web of Science ®Google Scholar
• Axtell , M. , Baeth , N. , Stickles , J. ( 2011 ). Irreducible divisor graphs and factorization properties of domains . Comm. Algebra 39 : 4148 – 4162 .
   Web of Science ®Google Scholar
• Axtell , M. , Stickles , J. ( 2008 ). Irreducible divisor graphs in commutative rings with zero-divisors . Comm. Algebra 36 : 1883 – 1893 .
   Web of Science ®Google Scholar
• Beck , I. ( 1988 ). Coloring of commutative rings . J. Algebra 116 : 208 – 226 .
   Web of Science ®Google Scholar
• Coykendall , J. , Maney , J. ( 2007 ). Irreducible divisor graphs . Comm. Algebra 35 : 885 – 895 .
   Web of Science ®Google Scholar
• Juett , J. ( 2012 ). Generalized comaximal factorization of ideals . J. Algebra 352 : 141 – 166 .
   Web of Science ®Google Scholar
• McAdam , S. , Swan , R. ( 2004 ). Unique comaximal factorization . J. Algebra 276 : 180 – 192 .
   Web of Science ®Google Scholar
• Mooney , C. P . Generalized factorization in commutative rings with zero-divisors . Houston J. Math ., to appear .
   Google Scholar
• Mooney , C. P . Generalized u-factorization in commutative rings with zero-divisors . Rocky Mountain J. Math ., to appear .
   Google Scholar
• Communicated by M. S. Batzoni.
   Google Scholar