Show simple item record

dc.contributor Brown, Marcus
dc.contributor Allen, Paul J.
dc.contributor Evans, Martin J.
dc.contributor Trent, Tavan T.
dc.contributor.advisor Neggers, Joseph
dc.contributor.author Mahawanniarachchi, Padmal Sathyajith
dc.date.accessioned 2017-03-01T14:37:50Z
dc.date.available 2017-03-01T14:37:50Z
dc.date.issued 2010
dc.identifier.other u0015_0000001_0000506
dc.identifier.other Mahawanniarachchi_alatus_0004D_10577
dc.identifier.uri https://ir.ua.edu/handle/123456789/1011
dc.description Electronic Thesis or Dissertation
dc.description.abstract We define two classes of algebras P- and Q-, which are derived from the definitions of BCK- and BCI- algebras. The birth of P-algebras is based on the symmetric difference in set theory. We prove that the class of P-algebras is a variety, and the definition of P-algebras is an alternative definition for groups of exponent 2, which we call P-groups. The class of Q-algebras consists of a combination of three axioms of BCK- and P- algebras. We study the relationship among P-, Q- and BCI- algebras. The theory of P- and Q- algebras is developed parallel to the theory of BCK- and BCI- algebras.
dc.format.extent 77 p.
dc.format.medium electronic
dc.format.mimetype application/pdf
dc.language English
dc.language.iso en_US
dc.publisher University of Alabama Libraries
dc.relation.ispartof The University of Alabama Electronic Theses and Dissertations
dc.relation.ispartof The University of Alabama Libraries Digital Collections
dc.relation.hasversion born digital
dc.rights All rights reserved by the author unless otherwise indicated.
dc.subject.other Mathematics
dc.title P-algebras and Q-algebras
dc.type thesis
dc.type text
etdms.degree.department University of Alabama. Dept. of Mathematics
etdms.degree.discipline Mathematics
etdms.degree.grantor The University of Alabama
etdms.degree.level doctoral
etdms.degree.name Ph.D.


Files in this item

This item appears in the following Collection(s)

Show simple item record

Search DSpace


Browse

My Account