Varieties of Nonassociative Rings of Bol-Moufang Type

<p>In this paper we investigate Bol-Moufang identities in a more general and very natural setting, \textit{nonassociative rings}.</p> <p>We first introduce and define common algebras. We then explore the varieties of nonassociative rings of Bol-Moufang type. We explore two separate cases, the first where we consider binary rings, rings in which we make no assumption of it's structure. The second case we explore are rings in which, $2x=0$ implies $x=0$.</p>

Name thesis:degree_name

Master of Science

Level thesis:degree_level

Thesis

Discipline thesis:degree_discipline

Math and Computer Science

Year dc:date.available

2022

Author dc:creator

• White, Ronald E

Contributors dc:contributor

• Daniel Rowe

• rings of Bol-Moufang type
• rings
• Bol-Moufang
• algebra
• nonassociative algebra
• Other Mathematics

Repository record dc:identifier

https://commons.nmu.edu/theses/696

OAI identifier oai:identifier

oai:commons.nmu.edu:theses-1753