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An upper bound for the first Hilbert coefficient of Gorenstein algebras and modules. (English) Zbl 1489.13024

Baeth, Nicholas R. (ed.) et al., Commutative algebra. 150 years with Roger and Sylvia Wiegand. Combined proceedings: second international meeting on commutative algebra and related areas, SIMCARA, Universidade de São Paulo, São Carlos, Brazil, July 22–26, 2019 and AMS special session on commutative algebra. In celebration of the 150th birthday of Roger and Sylvia Wiegand, University of Wisconsin-Madison, Wisconsin, September 14–15, 2019. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 773, 195-206 (2021).
MSC:  13D02 13H15
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The cone of Betti tables over a rational normal curve. (English) Zbl 1359.13013

Eisenbud, David (ed.) et al., Commutative algebra and noncommutative algebraic geometry. Volume II: Research articles. Cambridge: Cambridge University Press (ISBN 978-1-107-14972-4/hbk). Mathematical Sciences Research Institute Publications 68, 251-264 (2015).
MSC:  13D02
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Three flavors of extremal Betti tables. (English) Zbl 1262.13025

Peeva, Irena (ed.), Commutative algebra. Expository papers dedicated to David Eisenbud on the occasion of his 65th birthday. New York, NY: Springer (ISBN 978-1-4614-5291-1/hbk; 978-1-4614-5292-8/ebook). 99-121 (2013).
MSC:  13D40 13C14 13D02
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