By D. D. Anderson (auth.), Marco Fontana, Salah-Eddine Kabbaj, Bruce Olberding, Irena Swanson (eds.)
Commutative algebra is a quickly transforming into topic that's constructing in lots of assorted instructions. This quantity offers a number of of the latest effects from numerous components on the topic of either Noetherian and non-Noetherian commutative algebra. This quantity incorporates a selection of invited survey articles by means of a few of the top specialists within the box. The authors of those chapters are the world over well known for his or her very important contributions to numerous features of present examine in commutative algebra. a few issues awarded within the quantity contain: generalizations of cyclic modules, 0 divisor graphs, classification semigroups, forcing algebras, syzygy bundles, tight closure, Gorenstein dimensions, tensor items of algebras over fields, in addition to many others. This ebook is meant for researchers and graduate scholars drawn to learning commutative algebra.
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Extra info for Commutative Algebra: Noetherian and Non-Noetherian Perspectives
The zero-divisor graph of a non-commutative ring. Int. J. Commut. Rings 1(4), 203–211 (2002) 68. : The zero-divisor graph of a non-commutative ring, Commutative Rings, pp. 39–47. Nova Science Publishers, Hauppauge, NY (2002). (Reprint of ) 69. : An ideal-based zero-divisor graph of a commutative ring. Comm. Algebra 31(9), 4425–4443 (2003) 70. : Structure in the zero-divisor graph of a non-commutative ring. Houst. J. Math. 30(2), 345–355 (2004) 71. : Central sets and radii of the zero-divisor graphs of commutative rings.
Comm. Algebra 31(9), 4425–4443 (2003) 70. : Structure in the zero-divisor graph of a non-commutative ring. Houst. J. Math. 30(2), 345–355 (2004) 71. : Central sets and radii of the zero-divisor graphs of commutative rings. Comm. Algebra 34(7), 2389–2401 (2006) 72.
Algebra 315(2), 600–611 (2007) 47. : On realizing zero-divisor graphs. Comm. Algebra 36(12), 4509–4520 (2008) 48. : The cardinality of an annihilator class in a von Neumann regular ring. Int. Electron. J. Algebra 4, 63–82 (2008) 49. : Invariants and isomorphism theorems for zero-divisor graphs of commutative rings of quotients, preprint 44 David F. Anderson, Michael C. Axtell, and Joe A. Stickles, Jr. 50. : Weakly central-vertex complete graphs with applications to commutative rings. J. Pure Appl.