Zobrazeno 1 - 10
of 43
pro vyhledávání: '"Mordechai Katzman"'
Autor:
Mordechai Katzman, Rodney Sharp
Publikováno v:
Transactions of the American Mathematical Society.
This paper presents an algorithm for calculation of the Lyubeznik numbers of a local ring which is a homomorphic image of a regular local ring R R of prime characteristic. The methods used employ Lyubeznik’s F F -modules over R R , particularly his
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cbd7220143543fb5612758e23de8ec05
https://doi.org/10.1090/tran/8722
https://doi.org/10.1090/tran/8722
Autor:
William Mycroft, Iain Todd, S. Tammas-Williams, Mordechai Katzman, Visakan Kadirkamanathan, George Panoutsos, Everth Hernandez-Nava
Publikováno v:
Journal of Intelligent Manufacturing. 31:1769-1781
Metal powder-bed fusion additive manufacturing technologies offer numerous benefits to the manufacturing industry. However, the current approach to printability analysis, determining which components are likely to build unsuccessfully, prior to manuf
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::81f2671b3ff6e7f85e58b5eed7e52c5a
https://doi.org/10.1007/s10845-020-01541-w
https://doi.org/10.1007/s10845-020-01541-w
Publikováno v:
Journal of Algebra. 525:19-41
We establish a criterion for the strong $F$-regularity of a (non-Gorenstein) Cohen-Macaulay reduced complete local ring of dimension at least $2$, containing a perfect field of prime characteristic $p$. We also describe an explicit generating morphis
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::85b0277d058e5324ecc6fd596f6c3e54
https://doi.org/10.1016/j.jalgebra.2018.12.030
https://doi.org/10.1016/j.jalgebra.2018.12.030
Publikováno v:
Journal of Algebra. 486:80-97
This paper shows the existence of ideals whose localizations and completions at prime ideals are parameter test ideals of the localized and completed rings. We do this for Cohen-Macaulay localizations (resp., completions) of non-local rings, for gene
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8e1b9c70da752381acf78d17d1b3e751
https://doi.org/10.1016/j.jalgebra.2017.05.010
https://doi.org/10.1016/j.jalgebra.2017.05.010
Let $R$ be a polynomial or power series ring over a field $k$. We study the length of local cohomology modules $H^j_I(R)$ in the category of $D$-modules and $F$-modules. We show that the $D$-module length of $H^j_I(R)$ is bounded by a polynomial in t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::71a76cfa80a878ed1013399b7f5a7cc9
https://eprints.whiterose.ac.uk/115305/1/1609.01643.pdf
https://eprints.whiterose.ac.uk/115305/1/1609.01643.pdf
Autor:
Mordechai Katzman, Wenliang Zhang
We extend a result by Huneke and Watanabe bounding the multiplicity of $F$-pure local rings of prime characteristic in terms of their dimension and embedding dimensions to the case of $F$-injective, generalized Cohen-Macaulay rings. We then produce a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4019d9154cd9f026287ecafa47bcd460
http://arxiv.org/abs/1804.11288
http://arxiv.org/abs/1804.11288
Autor:
Pedro Teixeira, Mordechai Katzman, Karl Schwede, Emily E. Witt, Daniel J. Hernández, Zhibek Kadyrsizova, Marcus Robinson, Sara Malec, Alberto F. Boix, Daniel Smolkin
This note describes a \emph{Macaulay2} package for computations in prime characteristic commutative algebra. This includes Frobenius powers and roots, $p^{-e}$-linear and $p^{e}$-linear maps, singularities defined in terms of these maps, different ty
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::32b22b583d1ee0b4164a240aa509b8c0
Publikováno v:
Proceedings of the American Mathematical Society. 144:955-962
1. introductionR. Hartshorneprovedin [Har62, Proposition2.1]that, if (R,m) is anoetherianlo-cal ring whose depth is at least 2, then the punctured spectrum (i.e. Spec(R)\{m})is connected. In this note we partially extend this result to the case depth
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fa007ba645bb36a20140695bef389305
https://doi.org/10.1090/proc12771
https://doi.org/10.1090/proc12771
Autor:
Mordechai Katzman, Alberto F. Boix
Publikováno v:
Archiv der Mathematik. 103:421-433
This paper describes a method for computing all F-pure ideals for a given Cartier map of a polynomial ring over a finite field.
Comment: 11 pages. Comments are welcome
Comment: 11 pages. Comments are welcome
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cfcf0816bbe55711f39c0f86766ba13a
https://doi.org/10.1007/s00013-014-0704-7
https://doi.org/10.1007/s00013-014-0704-7
Autor:
Wenliang Zhang, Mordechai Katzman
Publikováno v:
Journal of Symbolic Computation. 60:29-46
In this paper we consider Artinian modules over power series rings endowed with a Frobenius map. We describe a method for finding the set of all prime annihilators of submodules which are preserved by the given Frobenius map and on which the Frobeniu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bf754772a4c4c5a13aeb371a51cbaccd
https://doi.org/10.1016/j.jsc.2013.10.009
https://doi.org/10.1016/j.jsc.2013.10.009