{"product_id":"mora-teo-solving-polynomial-equation-systems-9781107109636","title":"Solving Polynomial Equation Systems","description":"In this fourth and final volume the author extends Buchberger's Algorithm in three different directions. First, he extends the theory to group rings and other Ore-like extensions, and provides an operative scheme that allows one to set a Buchberger theory over any effective associative ring. Second, he covers similar extensions as tools for discussing parametric polynomial systems, the notion of SAGBI-bases, Gröbner bases over invariant rings and Hironaka's theory. Finally, Mora shows how Hilbert's followers - notably Janet, Gunther and Macaulay - anticipated Buchberger's ideas and discusses the most promising recent alternatives by Gerdt (involutive bases) and Faugère (F4 and F5). This comprehensive treatment in four volumes is a significant contribution to algorithmic commutative algebra that will be essential reading for algebraists and algebraic geometers.","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":53694351507798,"sku":null,"price":0.0,"currency_code":"EUR","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0925\/5829\/5382\/files\/product_image_9781107109636_1_4588467d-b32e-4790-a2c1-2ad18a6ffc24.jpg?v=1794583555","url":"https:\/\/www.momoxbooks.com\/products\/mora-teo-solving-polynomial-equation-systems-9781107109636","provider":"momox","version":"1.0","type":"link"}