Algebras and Their Arithmetics
Imported Edition - Ships in 18-21 Days
Free Shipping in India on orders above Rs. 500
Imported Edition - Ships in 18-21 Days
Free Shipping in India on orders above Rs. 500
"Algebras and Their Arithmetics" is a seminal work in the field of abstract algebra, written by the distinguished mathematician Leonard Eugene Dickson. This foundational text provides a comprehensive exploration of linear associative algebras and the systematic development of their arithmetics. Dickson's treatise was instrumental in transitioning the study of algebras from a focus on specific examples to a more generalized and structural approach.
The book delves into the properties of division algebras, the determination of all such algebras over various fields, and the intricate relationship between algebra and number theory. It introduces the concept of integral elements within an algebra, establishing a rigorous framework for studying their properties. By defining an arithmetic of an algebra as a set of integral elements satisfying certain conditions, Dickson paved the way for modern research in non-commutative arithmetic.
This work remains a vital resource for mathematicians and students of mathematical history. It offers profound insights into the evolution of algebraic thought and provides a rigorous treatment of topics that continue to be central to contemporary mathematical research. "Algebras and Their Arithmetics" stands as a testament to Dickson's logical clarity and his profound influence on the development of twentieth-century mathematics.
This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you may see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.
This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.
As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
• Author(s): Clear | James • Publisher: Penguin • Publisher Imprint: Penguin Random House • Subject: General Books
• Author(s): Jeff Kinney • Publisher: Penguin Random House Children's UK • Publisher Imprint: Penguin Random House Children's UK • BISAC: Comics & Graphic Novels - Humorous
• Author(s): Ichiro Kishimi • Publisher: GROVE ATLANTIC • Publisher Imprint: Allen & Unwin • BISAC: Personal Growth - SuccessIchiro Kishimi lives in Kyoto. He writes, lectures and teaches in psychiatric clinics as a certified counsellor and c...
View full details• Author(s): Chetan Bhagat • Publisher: HarperCollins Publishers India • Publisher Imprint: HarperCollins Publishers India • BISAC: GeneralFrom India's top-selling writer Chetan Bhagat comes a powerful new love story that will make you laugh, cry...
View full details• Author(s): Brianna Wiest • Publisher: Manjul Publishing • Publisher Imprint: Amaryllis • BISAC: Body Mind And SpiritThis is a book about self-sabotage. Why we do it, when we do it, and how to stop doing it—for good. Coexisting but conflicting n...
View full details• Author(s): Morgan Housel • Publisher: Pan Macmillan • Publisher Imprint: Pan Macmillan • BISAC: Finance - Wealth ManagementA third book from the International bestselling author of The Psychology of Money and Same as Ever, lessons on harnessing...
View full details• Author(s): Arundhati Roy• Publisher: PRH INDIA LOCAL PRINT• Publisher Imprint: Penguin Hamish Hamilton• BISAC: Literary FiguresArundhati Roy’s first work of memoir, this is a soaring account, both intimate and inspiring, of how the author became...
View full details• Author(s): Acharya Prashant • Publisher: HarperCollins Publishers India • Publisher Imprint: HarperCollins Publishers India • BISAC: GeneralIn a world where vagueness is mistaken for depth and obscurity passes for wisdom, Truth without Apology ...
View full details• Author(s): Sudha Murthy • Publisher: India Puffin • Publisher Imprint: India Puffin • BISAC: Short StoriesWho can resist a good story, especially when it's being told by Grandma? From her bag emerges tales of kings and cheats, monkeys and mic...
View full details• Author(s): Satoshi Yagisawa • Publisher: Bonnier Books Ltd • Publisher Imprint: Bonnier Books Ltd
• Author(s): Newport, Cal • Publisher: Little, Brown Book Group • Publisher Imprint: Piatkus
• Author(s): Shrijeet Shandilya • Publisher: Ebury Press • Publisher Imprint: Ebury Press • BISAC: Romance - GeneralIn the electric haze of college life, three friends are bound by laughter, late-night talks and unspoken promises. But when two of...
View full details• Author(s): Dan Brown • Publisher: Transworld Publishers Ltd • Publisher Imprint: Transworld Publishers Ltd • BISAC: Thrillers - EspionageDan Brown is the bestselling author of Digital Fortress, Deception Point, Angels and Demons, The Da Vinci C...
View full details• Author(s): Sudha Murty • Publisher: India Puffin • Publisher Imprint: India Puffin • BISAC: Action & Adventure - General
Rich Dad Poor Dad: What the Rich Teach Their Kids about Money That the Poor and Middle Class Do Not!
• Publisher: Penguin • Publisher Imprint: Penguin Random House • Subject: General Books • BISAC: Personal Finance - GeneralApril of 2022 marks a 25-year milestone for the personal finance classic Rich Dad Poor Dad that still ranks as the #1 Pers...
View full details• Author(s): Dale Carnegie | Napoleon Hill • Publisher: Fingerprint • Publisher Imprint: Fingerprint • Subject: General Books
• Author(s): Freida Mcfadden • Publisher: Penguin Select Print • Publisher Imprint: Penguin Select Publishing"Multi-Million Copy Bestselling Series •Now Being Made Into a Major Motion Picture Starring Sydney Sweeney and Amanda Seyfried #1 New Yor...
View full details• Author(s): Wonder House Books • Publisher: Wonder House Books • Publisher Imprint: Wonder House Books • BISAC: Comics & Graphic Novels - Fairy Tales, Folklore, Legends & MTimeless Wisdom, Talking Animals & Life Lessons for Young Min...
View full details• Author(s): Viktor E. Frankl • Publisher: Random House • Publisher Imprint: Random Hou • Subject: Medical, Nursing and Health Sciences
• Author(s): Madhavi Bharadwaj • Publisher: PRH India • Publisher Imprint: Penguin Ebury Press • BISAC: Parenting - MotherhoodWelcome to the wild, messy, wonderful world of parenting--where the nights are long, the diapers are explosive, and unso...
View full details• Author(s): Vir Das • Publisher: HarperCollins Publishers India • Publisher Imprint: HarperCollins Publishers India • BISAC: Entertainment & Performing ArtsComedian and actor Vir Das is beloved (by some, tolerated by others, blocked by a few...
View full details• Author(s): Eric Carle • Publisher: Penguin Books, Limited (UK) • Publisher Imprint: Penguin Books, Limited (UK) • BISAC: Animals - Butterflies, Moths & CaterpillarsEric Carle's The Very Hungry Caterpillar is a perennial favourite with child...
View full details• Author(s): Prajakta Koli • Publisher: Harper Fiction India • Publisher Imprint: Harper Fiction India • BISAC: Romance - ContemporaryWinner of the Amazon India Popular Choice Debut Book 2025 Award. From one of India's most-loved creators comes s...
View full details