Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

   
Mobile Device Pairing
Green Open Access
Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

On the relational basis of Cayley's theorem and of similar representations for algebras


Author: Hassan Sedaghat
Journal: Trans. Amer. Math. Soc. 347 (1995), 3053-3060
MSC: Primary 08A02; Secondary 06A05, 06A12, 06B15, 06F05, 06F25, 08A05, 20M30
MathSciNet review: 1286006
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Considering a binary operation as a ternary relation permits certain sections of the latter (which are functions) to be used in representing an abstract semigroup as a family of the self-maps of its underlying set under function composition. The idea is thus seen to be entirely similar to the way that the sections of a partial ordering under set inclusion represent the (abstract) partially ordered set. An extension of this procedure yields a uniform set of representation theorems for a large class of associative algebras.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 08A02, 06A05, 06A12, 06B15, 06F05, 06F25, 08A05, 20M30

Retrieve articles in all journals with MSC: 08A02, 06A05, 06A12, 06B15, 06F05, 06F25, 08A05, 20M30


Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1995-1286006-4
PII: S 0002-9947(1995)1286006-4
Article copyright: © Copyright 1995 American Mathematical Society