Details:
Title  General Jacobi identity revisited again.  Author(s)  Hirokazu Nishimura, Takeshi Osoekawa  Type  Article in Journal  Abstract  Synthetic differential geometry occupies a unique position in topostheoretic physics. Nevertheless it has appeared somewhat too conceptual to physicists in general, partly because it has appeared to lack computational aspects. Its computational facets are really concerned with computation of the quasicolimit of a finite diagram of infinitesimal spaces, or equivalently, with computation of the limit of a finite diagram of Weil algebras. Indeed we have been forced to do a highly involved computation of the above kind by hand in our previous papers (Nishimura, H. in Int. J. Theor. Phys. 36:1099–1131, 1997 and Nishimura, H. in Int. J. Theor. Phys. 38:2163–2174, 1999). The principal objective in this paper is to show that Grö bner bases techniques provide us with means that relegate such computations to computers.  Keywords  Weil algebra, Limit ,Equalizer  ISSN  00207748; 15729575/e 
URL 
http://link.springer.com/article/10.1007%2Fs107730079397z 
Language  English  Journal  Int. J. Theor. Phys.  Volume  46  Number  11  Pages  28432862  Publisher  Springer US, New York, NY  Year  2007  Edition  0  Translation 
No  Refereed 
No 
