<abstract xmlns="http://www.w3.org/1999/xhtml"><p> A loop is shown to be a universal Osborn loop if and only if it has a particular simplicial complex. A loop is shown to be a universal Osborn loop and obeys two new identities if and only if it has another particular simplicial complex. A universal Osborn loop and four of its isotopes are shown to form a rectangular pyramid in a 3-dimensional space.</p></abstract>

A loop is shown to be a universal Osborn loop if and only if it has a particular simplicial complex. A loop is shown to be a universal Osborn loop and obeys two new identities if and only if it has another particular simplicial complex. A universal Osborn loop and four of its isotopes are shown to form a rectangular pyramid in a 3-dimensional space.

Some Simplicial Complexes of Universal Osborn Loops

Department of Mathematics Faculty of Science, Obafemi Awolowo University, Ile Ife, Nigeria.

Annals of West University of Timisoara - Mathematics and Computer Science

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Some Simplicial Complexes of Universal Osborn Loops"}

A loop is shown to be a universal Osborn loop if and only if it has a particular simplicial complex. A loop is shown to be a universal Osborn loop and obeys...

Some Simplicial Complexes of Universal Osborn Loops

Published Online: Dec 11, 2014

Page range: 65 - 79

Received: May 22, 2014

Accepted: Jun 30, 2014

DOI: https://doi.org/10.2478/awutm-2014-0005

Keywords
Osborn loops, universality, left universality, right universality

© Annals of West University of Timisoara - Mathematics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Some Simplicial Complexes of Universal Osborn Loops

Published Online: Dec 11, 2014

Page range: 65 - 79

Received: May 22, 2014

Accepted: Jun 30, 2014

DOI: https://doi.org/10.2478/awutm-2014-0005

KeywordsOsborn loops, universality, left universality, right universality

© Annals of West University of Timisoara - Mathematics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
Osborn loops, universality, left universality, right universality