{ "item_title" : "Algebra and Geometry", "item_author" : [" R. V. Gamkrelidze "], "item_description" : "This volume contains five review articles, three in the Al- gebra part and two in the Geometry part, surveying the fields of ring theory, modules, and lattice theory in the former, and those of integral geometry and differential-geometric methods in the calculus of variations in the latter. The literature covered is primarily that published in 1965-1968. v CONTENTS ALGEBRA RING THEORY L. A. Bokut', K. A. Zhevlakov, and E. N. Kuz'min1. Associative Rings. . . . . . . . . . . . . . . . . . . . 32. Lie Algebras and Their Generalizations. . . . . . . 13 3. Alternative and Jordan Rings. . . . . . . . . . . . . . . . 18 Bibliography. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25 MODULES A. V. Mikhalev and L. A. Skornyakov1. Radicals. . . . . . . . . . . . . . . . . . . 592. Projection, Injection, etc. . . . . . . . . . . . . . . . . . . 623. Homological Classification of Rings. . . . . . . . . . . . 664. Quasi-Frobenius Rings and Their Generalizations. . 715. Some Aspects of Homological Algebra . . . . . . . . . . 756. Endomorphism Rings . . . . . . . . . . . . . . . . . . . . . 837. Other Aspects. . . . . . . . . . . . . . . . . . . 87 Bibliography . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ., 91 LATTICE THEORY M. M. Glukhov, 1. V. Stelletskii, and T. S. Fofanova1. Boolean Algebras . . . . . . . . . . . . . . . . . . . . . 1112. Identity and Defining Relations in Lattices . . . . . . 1203. Distributive Lattices. . . . . . . . . . . . . . . . . . . . . 122 vii viii CONTENTS4. Geometrical Aspects and the Related Investigations. . . . . . . . . . . . - . . - . . . . . . . . . - 1255. Homological Aspects. . . . . . . . . . . . . . . . . . . . . . 1296. Lattices ofCongruences and of Ideals of a Lattice . . 1337. Lattices of Subsets, of Subalgebras, etc. . . . . . . . . 1348. Closure Operators . . . . . . . . . . . . . . . . . . . . . . . 1369. Topological Aspects. . . . . . . . . . . . . . . . . . . . . . 13710. Partially-Ordered Sets. . . . . . . . . . . . . . . . . . . . 14111. Other Questions. . . . . . . . . . . . . . . . . . . . . . . . . 146 Bibliography. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 148 GEOMETRY INTEGRAL GEOMETRY G. 1. Drinfel'd Preface . . . . . . . . .", "item_img_path" : "https://covers1.booksamillion.com/covers/bam/1/47/570/509/1475705093_b.jpg", "price_data" : { "retail_price" : "54.99", "online_price" : "54.99", "our_price" : "54.99", "club_price" : "54.99", "savings_pct" : "0", "savings_amt" : "0.00", "club_savings_pct" : "0", "club_savings_amt" : "0.00", "discount_pct" : "10", "store_price" : "" } }

Overview

Customers Also Bought

Details