Rauf, Asia Stanley decompositions, pretty clean filtrations and reductions modulo regular elements. (English) Zbl 1155.13311 Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 50(98), No. 4, 347-354 (2007). Summary: We study the behavior of Stanley decompositions and of pretty clean filtrations under reduction modulo a regular element. Cited in 17 Documents MSC: 13H10 Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) 13P10 Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) 13C14 Cohen-Macaulay modules 13F20 Polynomial rings and ideals; rings of integer-valued polynomials Keywords:monomial ideals; Stanley decompositions; Stanley depth; Prime filtrations; Pretty clean filtrations PDFBibTeX XMLCite \textit{A. Rauf}, Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 50(98), No. 4, 347--354 (2007; Zbl 1155.13311) Full Text: arXiv