@article{ghezzi_sally_2017,
	title = {Sally modules and reduction numbers of ideals},
	volume = {226},
	issn = {0027-7630, 2152-6842},
	url = {https://www.cambridge.org/core/journals/nagoya-mathematical-journal/article/sally-modules-and-reduction-numbers-of-ideals/9C6F06E86EA5B8FB66A94F6B9FC2264D},
	doi = {10.1017/nmj.2016.40},
	abstract = {We study the relationship between the reduction number of a primary ideal of a local ring relative to one of its minimal reductions and the multiplicity of the corresponding Sally module. This paper is focused on three goals: (i) to develop a change of rings technique for the Sally module of an ideal to allow extension of results from Cohen–Macaulay rings to more general rings; (ii) to use the fiber of the Sally modules of almost complete intersection ideals to connect its structure to the Cohen–Macaulayness of the special fiber ring; (iii) to extend some of the results of (i) to two-dimensional Buchsbaum rings. Along the way, we provide an explicit realization of the 



 
S2S\_\{2\}



-fication of arbitrary Buchsbaum rings.},
	language = {en},
	urldate = {2020-01-10},
	journal = {Nagoya Mathematical Journal},
	author = {Ghezzi, L. and Goto, S. and Hong, J. and Vasconcelos, W. V.},
	month = jun,
	year = {2017},
	keywords = {13D40, 13H15, Primary 13H10, Secondary 13A30, dept.mat},
	pages = {106--126},
}

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