{"product_id":"solving-polynomial-equation-systems-iv-volume-4-buchberger-theory-and-beyond-book-teo-mora-9781107109636","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, Gr bner 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 Faug re (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":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52543405654289,"sku":"NLS9781107109636","price":272.59,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9781107109636.jpg?v=1786278887","url":"https:\/\/www.worldofbooks.com\/products\/solving-polynomial-equation-systems-iv-volume-4-buchberger-theory-and-beyond-book-teo-mora-9781107109636","provider":"World of Books ","version":"1.0","type":"link"}