{"product_id":"9781316379585","title":"Solving Polynomial Equation Systems IV: Volume 4, Buchberger Theory and Beyond","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":47133564567792,"sku":"9781316379585","price":84.49,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0737\/7593\/9824\/files\/9781316379585_p0.jpg?v=1763706985","url":"https:\/\/shop-qa.barnesandnoble.com\/products\/9781316379585","provider":"Barnes \u0026 Noble (DEV)","version":"1.0","type":"link"}