Ferdinando 'Teo' Mora [lower-alpha 1] is an Italian mathematician, and since 1990 until 2019 a professor of algebra at the University of Genoa.
Mora's degree is in mathematics from the University of Genoa in 1974. [1] Mora's publications span forty years; his notable contributions in computer algebra are the tangent cone algorithm [2] [3] and its extension of Buchberger theory of Gröbner bases and related algorithm earlier [4] to non-commutative polynomial rings [5] and more recently [6] to effective rings; less significant [7] the notion of Gröbner fan; marginal, with respect to the other authors, his contribution to the FGLM algorithm.
Mora is on the managing-editorial-board of the journal AAECC published by Springer, [8] and was also formerly an editor of the Bulletin of the Iranian Mathematical Society . [lower-alpha 2]
He is the author of the tetralogy Solving Polynomial Equation Systems:
Mora lives in Genoa. [11] Mora published a book trilogy in 1977-1978 (reprinted 2001-2003) called Storia del cinema dell'orrore on the history of horror films. [11] Italian television said in 2014 that the books are an "authoritative guide with in-depth detailed descriptions and analysis." [12]
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In mathematics, and more specifically in computer algebra, computational algebraic geometry, and computational commutative algebra, a Gröbner basis is a particular kind of generating set of an ideal in a polynomial ring K[x1, ..., xn] over a field K. A Gröbner basis allows many important properties of the ideal and the associated algebraic variety to be deduced easily, such as the dimension and the number of zeros when it is finite. Gröbner basis computation is one of the main practical tools for solving systems of polynomial equations and computing the images of algebraic varieties under projections or rational maps.
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FGLM is one of the main algorithms in computer algebra, named after its designers, Faugère, Gianni, Lazard and Mora. They introduced their algorithm in 1993. The input of the algorithm is a Gröbner basis of a zero-dimensional ideal in the ring of polynomials over a field with respect to a monomial order and a second monomial order. As its output, it returns a Gröbner basis of the ideal with respect to the second ordering. The algorithm is a fundamental tool in computer algebra and has been implemented in most of the computer algebra systems. The complexity of FGLM is O(nD3), where n is the number of variables of the polynomials and D is the degree of the ideal. There are several generalization and various applications for FGLM.
In computer algebra, the Gröbner fan of an ideal in the ring of polynomials is a concept in the theory of Gröbner bases. It is defined to be a fan consisting of cones that correspond to different monomial orders on that ideal. The concept was introduced by Mora and Robbiano in 1988. The result is a weaker version of the result presented in the same issue of the journal by Bayer and Morrison. Gröbner fan is a base for the nowadays active field of tropical geometry. One implementation of the Gröbner fan is called Gfan, based on an article of Fukuda, et al. which is included in some computer algebra systems such as Singular, Macaulay2, and CoCoA.
Patrizia M. Gianni is an Italian mathematician specializing in computer algebra. She is known for her early research on Gröbner bases including her discovery of the FGLM algorithm for changing monomial orderings in Gröbner bases, and for her development of the components of the Axiom computer algebra system concerning polynomials and rational functions.
...Teo Mora vive a Genova. ...scritto libri come La madre di tutte le dualità: l'algoritmo di Moeller , Il teorema di Kalkbrenner , o L'algoritmo di Buchberger ... Negli [1977] anni '70, Mora aveva scritto una monumentale Storia del cinema horror. ... la [2001] ripropone, in una nuova edizione, riveduta, corretta e completamente aggiornata. ...Nel primo volume... fino al 1957... Nosferatu , attori come Boris Karloff e Bela Lugosi... film come Il gabinetto del dottor Caligari . ...Nel secondo volume si arriva fino al 1966... Roger Corman... Il terzo volume arriva fino al 1978... Brian De Palma, David Cronenberg, George Romero, Dario Argento, Mario Bava. ...Translation: "...Teo Mora lives in Genoa. ...written works include The Mother of All Dualities: The Möller Algorithm , The Kalkbrenner Theorem , and The Buchberger Algorithm ... In the 1970s, Mora wrote the monumental History of Horror Cinema . ...reprinted [in 2001], as a new edition: revised, corrected, and completely updated. Two volume are already out, the third [volume] will be released in late January [2002], the fourth [volume] in spring 2003. ... In the first volume... [covering] through 1957... Nosferatu , actors like Boris Karloff and Bela Lugosi... films like The Cabinet of Dr. Caligari . ...The second volume covers until 1966... Roger Corman, director ...The third volume covers through 1978... Brian De Palma, David Cronenberg, George Romero, Dario Argento, Mario Bava. ..."
...[text:] L'intervista — Teo Mora: Professore di Algebra presso il dipartimento di Informatica e Scienze dell'Informazione dell'Università di Genova, è anche un noto esperto di cinema horror. Ha curato Storia del cinema dell'orrore, un'autorevole guida in tre volumi con approfondimenti, schede e analisi dettagliate sui film, i registi e gli attori... [multimedia: video content] ...Translation: "...[text:] professor of Algebra in the Computer and Information Science department of the University of Genoa, also a well-known expert on horror films. His book Storia del cinema dell'orrore is an authoritative guide with in-depth detailed descriptions and analysis of films, directors, and actors... [multimedia: video content] ..."