{"product_id":"algebra-and-geometry-9781475705096","title":"Algebra and Geometry","description":"\u003cp\u003e • Author(s): R. V. Gamkrelidze\u003cbr\u003e • Publisher: Springer\u003cbr\u003e • Publisher Imprint: Springer\u003cbr\u003e • BISAC: Algebra - General\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eThis 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'min   1. Associative Rings. . . . . . . . . . . . . . . . . . . . 3   2. Lie Algebras and Their Generalizations. . . . . . . 13 3. Alternative and Jordan Rings. . . . . . . . . . . . . . . . 18 Bibliography. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25 MODULES A. V. Mikhalev and L. A. Skornyakov   1. Radicals. . . . . . . . . . . . . . . . . . . 59   2. Projection, Injection, etc. . . . . . . . . . . . . . . . . . . 62   3. Homological Classification of Rings. . . . . . . . . . . . 66   4. Quasi-Frobenius Rings and Their Generalizations. . 71   5. Some Aspects of Homological Algebra . . . . . . . . . . 75   6. Endomorphism Rings . . . . . . . . . . . . . . . . . . . . . 83   7. Other Aspects. . . . . . . . . . . . . . . . . . . 87 Bibliography . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ., 91 LATTICE THEORY M. M. Glukhov, 1. V. Stelletskii, and T. S. Fofanova   1. Boolean Algebras . . . . . . . . . . . . . . . . . . . . . \" 111   2. Identity and Defining Relations in Lattices . . . . . . 120   3. Distributive Lattices. . . . . . . . . . . . . . . . . . . . . 122 vii viii CONTENTS   4. Geometrical Aspects and the Related Investigations. . . . . . . . . . . . - . . - . . . . . . . . . - 125   5. Homological Aspects. . . . . . . . . . . . . . . . . . . . . . 129   6. Lattices ofCongruences and of Ideals of a Lattice . . 133   7. Lattices of Subsets, of Subalgebras, etc. . . . . . . . . 134   8. Closure Operators . . . . . . . . . . . . . . . . . . . . . . . 136   9. Topological Aspects. . . . . . . . . . . . . . . . . . . . . . 137   10. Partially-Ordered Sets. . . . . . . . . . . . . . . . . . . . 141   11. Other Questions. . . . . . . . . . . . . . . . . . . . . . . . . 146 Bibliography. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 148 GEOMETRY INTEGRAL GEOMETRY G. 1. Drinfel'd Preface . . . . . . . . .\u003c\/p\u003e","brand":"Springer","offers":[{"title":"Paperback","offer_id":45281740292247,"sku":"9781475705096","price":3672.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9781475705096.webp?v=1769300098","url":"https:\/\/atlanticbooks.com\/products\/algebra-and-geometry-9781475705096","provider":"Atlantic Books","version":"1.0","type":"link"}