References
- Anderson, D. F., LaGrange, J. D. (2016). Some remarks on the compressed zero-divisor graph. J. Algebra 447:297–321.
- Anderson, D. F., Livingston, P. S. (1999). The zero-divisor graph of a commutative ring. J. Algebra 217(2):434–447.
- Arnold, J. T. (1973). Krull dimension in power series rings. Trans. Amer. Math. Soc. 177:299–304.
- Axtell, M., Baeth, N., Stickles, J. (2016). Cut structures in zero-divisor graphs of commutative rings. J. Commut. Algebra 8(2):143–171.
- Axtell, M., Coykendall, J., Stickles, J. (2005). Zero-divisor graphs of polynomials and power series over commutative rings. Commun. Algebra 33(6):2043–2050.
- Beck, I. (1988). Coloring of commutative rings. J. Algebra 116(1):208–226.
- Behboodi, M., Rakeei, Z. (2011). The annihilating-ideal graph of commutative rings I. J. Algebra Appl. 10(4):727–739.
- Boynton, J. G., Coykendall, J. (2015). On the graph of divisibility of an integral domain. Can. Math. Bull. 58(3):449–458.
- Coykendall, J., Maney, J. (2007). Irreducible divisor graphs. Commun. Algebra 35(3):885–895.
- DeMeyer, F., DeMeyer, L. (2005). Zero divisor graphs of semigroups. J. Algebra 283(1):190–198.
- Gilmer, R., Heitmann, R. C. (1980). On Pic(R[X]) for R seminormal. J. Pure Appl. Algebra 16(3):251–257.
- Gilmer, R. W. (1968). Multiplicative Ideal Theory, no. 12. Ontario: Queen’s University Kinston.
- Herzog, J., Moradi, S., Rahimbeigi, M. (2022). The edge ideal of a graph and its splitting graphs. J. Commut. Algebra 14(1):27–35.
- Hibi, T., Kimura, K., Matsuda, K., Tsuchiya, A. (2021). Regularity and a-invariant of Cameron-Walker graphs. J. Algebra 584:215–242.
- Kang, B. G., Park, M. H. (2009). Krull dimension of mixed extensions. J. Pure Appl. Algebra 213(10):1911–1915.
- Loper, A. K. (2006). Almost Dedekind domains which are not Dedekind. In: Brewer, J. W., Glaz, S., Heinzer, W. J., Olberding, B. M., eds. Multiplicative Ideal Theory in Commutative Algebra. New York: Springer, pp. 279–292.
- Lucas, T. G. (2018). The clique ideal property. J. Commut. Algebra 10(4):499–546.
- Simis, A., Vasconcelos, W. V., Villarreal, R. H. (1994). On the ideal theory of graphs. J. Algebra 167(2):389–416.
- Swan, R. G. (1980). On seminormality. J. Algebra 67(1):210–229.
- Villarreal, R. H. (1990). Cohen-Macaulay graphs. Manuscripta Math. 66(3):277–293.
- Villarreal, R. H. (1995). Rees algebras of edge ideals. Commun. Algebra 23(9):3513–3524.