{"id":{"repo_id":"nmu","oai_identifier":"oai:commons.nmu.edu:theses-1753"},"canonical_url":"https://search.dev.ndltd.org/etd/nmu/oai:commons.nmu.edu:theses-1753","repository":{"repo_id":"nmu","name":"Northern Michigan University","base_url":"https://commons.nmu.edu/do/oai/"},"display":{"title":"Varieties of Nonassociative Rings of Bol-Moufang Type","abstract":"<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>","abstract_html":"&lt;p&gt;In this paper we investigate Bol-Moufang identities in a more general and very natural setting, \\textit{nonassociative rings}.&lt;/p&gt; &lt;p&gt;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&#x27;s structure. The second case we explore are rings in which, $2x=0$ implies $x=0$.&lt;/p&gt;","abstract_has_math":true,"creators":["White, Ronald E"],"institution":null,"degree_name":"Master of Science","degree_level":"Thesis","degree_discipline":"Math and Computer Science","degree_department":null,"school":null,"contributors":["Daniel Rowe"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2022,"date_issued":"2022-04-01T07:00:00Z","date_published":"2022-04-01T07:00:00Z","updated_at":"2026-07-24T03:24:24Z","subjects":["rings of Bol-Moufang type","rings","Bol-Moufang","algebra","nonassociative algebra","Other Mathematics"],"languages":[],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://commons.nmu.edu/theses/696","outbound_label":"Repository record","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Daniel Rowe"]},{"key":"dc:creator","label":"Author","values":["White, Ronald E"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.available","label":"Dc Date Available","values":["2022-04-01T07:00:00Z"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Math and Computer Science"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Thesis"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Master of Science"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["rings of Bol-Moufang type","rings","Bol-Moufang","algebra","nonassociative algebra","Other Mathematics"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["https://commons.nmu.edu/theses/696"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["<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>"]},{"key":"dc:title","label":"Title","values":["Varieties of Nonassociative Rings of Bol-Moufang Type"]}]}],"canonical_facts":{"dc:contributor":["Daniel Rowe"],"dc:creator":["White, Ronald E"],"dc:date.available":["2022-04-01T07:00:00Z"],"dc:description.abstract":["<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>"],"dc:identifier":["https://commons.nmu.edu/theses/696"],"dc:subject":["rings of Bol-Moufang type","rings","Bol-Moufang","algebra","nonassociative algebra","Other Mathematics"],"dc:title":["Varieties of Nonassociative Rings of Bol-Moufang Type"],"thesis:degree_discipline":["Math and Computer Science"],"thesis:degree_level":["Thesis"],"thesis:degree_name":["Master of Science"]},"updated_at":"2026-07-24T03:24:24Z"}