1.

Record Nr.

UNISA996418188403316

Autore

Fajardo William

Titolo

Skew pbw extensions : ring and module-theoretic properties, matrix and groÌbner methods, and applications / / William Fajardo, 5 others

Pubbl/distr/stampa

Cham, Switzerland : , : Springer, , [2020]

©2020

ISBN

3-030-53378-6

Edizione

[1st ed. 2020.]

Descrizione fisica

1 online resource (XV, 584 p.)

Collana

Algebra and Applications, , 1572-5553 ; ; 28

Disciplina

700

Soggetti

Ring extensions (Algebra)

Noncommutative rings

Categories (Mathematics)

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di contenuto

Preface -- I Ring and Module-Theoretic Properties of Skew PBW Extensions -- II Projective Modules Over Skew PBW Extensions -- III Matrix and Gröbner Methods for Skew PBW Extensions -- IV Applications: The Noncommutative AlgebraicGeometry of Skew PBW Extensions -- References.

Sommario/riassunto

This monograph is devoted to a new class of non-commutative rings, skew Poincaré–Birkhoff–Witt (PBW) extensions. Beginning with the basic definitions and ring-module theoretic/homological properties, it goes on to investigate finitely generated projective modules over skew PBW extensions from a matrix point of view. To make this theory constructive, the theory of Gröbner bases of left (right) ideals and modules for bijective skew PBW extensions is developed. For example, syzygies and the Ext and Tor modules over these rings are computed. Finally, applications to some key topics in the noncommutative algebraic geometry of quantum algebras are given, including an investigation of semi-graded Koszul algebras and semi-graded Artin–Schelter regular algebras, and the noncommutative Zariski cancellation problem. The book is addressed to researchers in noncommutative algebra and algebraic geometry as well as to graduate students and advanced undergraduate students.



2.

Record Nr.

UNINA9910791003003321

Autore

Kennedy John J.

Titolo

Pennsylvania elections / / John J. Kennedy

Pubbl/distr/stampa

Lanham, Maryland ; ; Plymouth, [England] : , : University Press of America, , 2014

©2014

ISBN

0-7618-6443-1

Descrizione fisica

1 online resource (237 p.)

Disciplina

974.8

Soggetti

Elections - Pennsylvania

Pennsylvania Politics and government 20th century

Pennsylvania Politics and government 21st century

Pennsylvania

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

Pennsylvania Elections; TABLE OF CONTENTS; LIST OF FIGURES; LIST OF TABLES; PREFACE; CHAPTER ONE The Political Geography of Pennsylvania; CHAPTER TWO United States Senate Elections in Pennsylvania; CHAPTER THREE Pennsylvania Gubernatorial Elections; CHAPTER FOUR Pennsylvania Row Office Elections; CHAPTER FIVE Presidential Elections in Pennsylvania; BIBLIOGRAPHY; INDEX

Sommario/riassunto

<span><span style=""font-style:italic;"">Pennsylvania Elections</span><span> provides a systematic and thorough analysis of every statewide election in Pennsylvania since 1950. By combining quantitative political science, political history, and political geography, this book will both pique the interest of those interested in the state's politics and serve as a reference source for future scholars.</span></span>