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Algebra and Geometry

Algebra and Geometry PDF Author: R. V. Gamkrelidze
Publisher: Springer Science & Business Media
ISBN: 1475705077
Category : Mathematics
Languages : en
Pages : 259

Book 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'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 of Congruences 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 . . . . . . . . .

Algebra and Geometry

Algebra and Geometry PDF Author: R. V. Gamkrelidze
Publisher: Springer Science & Business Media
ISBN: 1475705077
Category : Mathematics
Languages : en
Pages : 259

Book 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'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 of Congruences 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 . . . . . . . . .

The Making of the American Creative Class

The Making of the American Creative Class PDF Author: Shannan Clark
Publisher: Oxford University Press
ISBN: 0199912645
Category : History
Languages : en
Pages : 583

Book Description
During the middle decades of the twentieth century, the production of America's consumer culture was centralized in midtown Manhattan to an extent unparalleled in the history of the modern United States. Within a few square miles of skyscrapers were the headquarters of networks like NBC and CBS, the editorial offices of book publishers and mass circulation magazines such as Time and Life, numerous influential newspapers, and major advertising agencies on Madison Avenue. Every day tens of thousands of writers, editors, artists, performers, technicians, secretaries, and other white-collar workers made advertisements, produced media content, and enhanced the appearance of goods in order to boost sales. While this center of creativity has often been portrayed as a smoothly running machine, within these offices many white-collar workers challenged the managers and executives who directed their labors. In this definitive history, The Making of the American Creative Class examines these workers and their industries throughout the twentieth century. As manufacturers and retailers competed to attract consumers' attention, their advertising expenditures financed the growth of enterprises engaged in the production of culture, which in turn provided employment for an increasing number of clerical, technical, professional, and creative workers. The book explores employees' efforts to improve their working conditions by forming unions, experimenting with alternative media and cultural endeavors supported by public, labor, or cooperative patronage, and expanding their opportunities for creative autonomy. As blacklisting and attacks on militant unions left them destroyed or weakened, workers in advertising, design, publishing, and broadcasting in the late twentieth century were constrained in their ability to respond to economic dislocations and to combat discrimination in the culture industries. At once a portrait of a city and the national culture of consumer capitalism it has produced, The Making of the American Creative Class is an innovative narrative of modern American history that addresses issues of earnings and status still experienced by today's culture workers.

Research Summary

Research Summary PDF Author: Jet Propulsion Laboratory (U.S.)
Publisher:
ISBN:
Category : Astronautics
Languages : en
Pages : 928

Book Description


"Brown" in Baltimore

Author: Howell S. Baum
Publisher: Cornell University Press
ISBN: 080145834X
Category : Education
Languages : en
Pages : 295

Book Description
In the first book to present the history of Baltimore school desegregation, Howell S. Baum shows how good intentions got stuck on what Gunnar Myrdal called the "American Dilemma." Immediately after the 1954 Brown v. Board of Education decision, the city's liberal school board voted to desegregate and adopted a free choice policy that made integration voluntary. Baltimore's school desegregation proceeded peacefully, without the resistance or violence that occurred elsewhere. However, few whites chose to attend school with blacks, and after a few years of modest desegregation, schools resegregated and became increasingly segregated. The school board never changed its policy. Black leaders had urged the board to adopt free choice and, despite the limited desegregation, continued to support the policy and never sued the board to do anything else. Baum finds that American liberalism is the key to explaining how this happened. Myrdal observed that many whites believed in equality in the abstract but considered blacks inferior and treated them unequally. School officials were classical liberals who saw the world in terms of individuals, not races. They adopted a desegregation policy that explicitly ignored students' race and asserted that all students were equal in freedom to choose schools, while their policy let whites who disliked blacks avoid integration. School officials' liberal thinking hindered them from understanding or talking about the city's history of racial segregation, continuing barriers to desegregation, and realistic change strategies. From the classroom to city hall, Baum examines how Baltimore's distinct identity as a border city between North and South shaped local conversations about the national conflict over race and equality. The city's history of wrestling with the legacy of Brown reveals Americans' preferred way of dealing with racial issues: not talking about race. This avoidance, Baum concludes, allows segregation to continue.

Hearings

Hearings PDF Author: United States. Congress. House. Committee on Interior and Insular Affairs
Publisher:
ISBN:
Category :
Languages : en
Pages : 1918

Book Description


National Transportation Report

National Transportation Report PDF Author: United States. Dept. of Transportation. Office of the Assistant Secretary for Policy and International Affairs
Publisher:
ISBN:
Category : Transportation
Languages : en
Pages : 728

Book Description


Library of Congress Catalog: Motion Pictures and Filmstrips

Library of Congress Catalog: Motion Pictures and Filmstrips PDF Author: Library of Congress
Publisher:
ISBN:
Category : Filmstrips
Languages : en
Pages : 712

Book Description


Cycling and the British

Cycling and the British PDF Author: Neil Carter
Publisher: Bloomsbury Publishing
ISBN: 1472572114
Category : History
Languages : en
Pages : 377

Book Description
Cycling is currently enjoying a boom in popularity. What are the reasons behind this phenomenon? How have perceptions and the popularity of cycling shifted? This book charts the historical development of cycling both as a leisure and sporting activity since the 19th century and explores the wider political and cultural context in which cycling in Britain emerged. In particular, it examines cycling's relationship with environmental politics and its place in popular culture. Neil Carter successfully traverses several historical sub-disciplines, including the history of transport, leisure, sport, medicine and politics, employing the analytical tools of class, gender, political culture, the role of the state and commercialism to demonstrate how British identity has shaped and been shaped by cycling. At a time when it has become part of debates over transport and health, Cycling and the British: A Modern History provides a timely and clear analysis of the changes and continuities in attitudes towards cycling.

Birdville School; A Portrait of Small-Town America in the 20th Century

Birdville School; A Portrait of Small-Town America in the 20th Century PDF Author: Bob Barrage
Publisher: Lulu.com
ISBN: 1732956103
Category : History
Languages : en
Pages : 742

Book Description
Birdville School opened in 1922 on the corner of two dirt roads at the edge of a fallow farm. Over the next 67 school years it witnessed, and influenced, the unfolding story of the town that grew up around it, amid flood, brushfire, blizzard, tornado, and earthquake; poverty and prosperity; war, peace, and cold war; and even the collapse of the earth beneath its foundations. Its auditorium and cafeteria hosted PTA meetings, plays, movies, concerts, basketball tournaments, holiday parties, Girl Scout and Boy Scout meetings, polio vaccination clinics, and war-time rationing registrations and scrap-collection drives. Local sand-lot softball, baseball, and football teams competed in the same surrounding fields that swarmed with gleeful children at recess, and that echoed with the roar of low-flying aircrafts snagging mailbags on their tail hooks. Among its staff were thespians, musicians, firemen, outdoorsmen, and athletes, including a singer who performed in the Coolidge White House, a candidate for the state legislature, an army medic, and a ball player who faced off against the Homestead Grays and the Pittsburgh Pirates. By the time classes concluded for the last time in 1989, thousands of children - including the author - had benefitted from the care, instruction, and example of the Birdville School family. This book is a feeble tribute to those who made us who we are.

Catalog of Copyright Entries

Catalog of Copyright Entries PDF Author: Library of Congress. Copyright Office
Publisher:
ISBN:
Category : Copyright
Languages : en
Pages : 798

Book Description