Výsledky vyhledávání - "Mehdi Dorreh"

Autor: Mehdi Dorreh, Mohsen Asgharzadeh, Massoud Tousi

Publikováno v: Journal of Pure and Applied Algebra. 218:1730-1744

Let A be a direct limit of a direct system of Cohen–Macaulay rings. In this paper, we describe the Cohen–Macaulay property of A . Our results indicate that A is not necessarily Cohen–Macaulay. We show A is Cohen–Macaulay under various assumpt

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https://doi.org/10.1016/j.jpaa.2014.01.010

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On the injective dimension of $\mathscr{F}$-finite modules and holonomic $\mathscr{D}$-modules

Autor: Mehdi Dorreh

Publikováno v: Illinois J. Math. 60, no. 3-4 (2016), 819-831

Let $R$ be a regular local ring containing a field $k$ of characteristic $p$ and $M$ be an $\mathscr{F}$-finite module. In this paper, we study the injective dimension of $M$. We prove that $\operatorname{dim}_{R}(M)-1\leq\operatorname{inj.dim}_{R}(M

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https://doi.org/10.1215/ijm/1506067293

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Direct summands of infinite-dimensional polynomial rings

Autor: Mehdi Dorreh, Mohsen Asgharzadeh, Massoud Tousi

Publikováno v: J. Commut. Algebra 9, no. 1 (2017), 1-19

Let k be a field and R a pure subring of the infinite-dimensional polynomial ring k[X1;...]. If R is generated by monomials, then we show that the equality of height and grade holds for all ideals of R. Also, we show R satisfies the weak Bourbaki unm

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