26 BOOK REVIEWS

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Date: 2010-01-14 13:28:55 Commutative algebra Dedekind domain Principal ideal Ideal Integral element Emmy Noether Ring Fractional ideal Prime ideal Abstract algebra Algebra Ring theory		26 BOOK REVIEWS Add to Reading List Source URL: www.ams.org Download Document from Source Website File Size: 605,15 KB Share Document on Facebook

	CATEGORIES AND HOMOLOGICAL ALGEBRA Exercises for April 26 Exercise 1. Let R be a principal ideal domain. If M is a finitely generated R-module, show that M is a projective R-module ⇐⇒ M is a free R-module ⇐⇒ M is DocID: 1viEZ - View Document
	Computing Generator in Cyclotomic Integer Rings A subfield algorithm for the Principal Ideal Problem in L\|∆K \| and application to the cryptanalysis of a FHE scheme 1 2 DocID: 1va5i - View Document
	KINETIC THEORY This brief paper on kinetic theory deals with three topics: the hypotheses on which the theory is founded, the calculation of pressure and absolute temperature of an ideal gas and the principal consequence DocID: 1v6MC - View Document
	Efficient quantum algorithms for computing class groups and solving the principal ideal problem in arbitrary degree number fields Jean-Fran¸cois Biasse∗ Abstract This paper gives polynomial time quantum algorithms for DocID: 1uGoY - View Document
	Computing generator in cyclotomic integer rings ? A subfield algorithm for the Principal Ideal Problem in DocID: 1u9Sn - View Document