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 variety generated by all nilpotent lattice-ordered groups


Authors: V. V. Bludov and A. M. W. Glass
Journal: Trans. Amer. Math. Soc. 358 (2006), 5179-5192
MSC (2000): Primary 06F15, 20F18, 20F12
Published electronically: July 25, 2006
MathSciNet review: 2238913
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: In 1974, J. Martinez introduced the variety $ {\mathcal W}$ of weakly Abelian lattice-ordered groups; it is defined by the identity

$\displaystyle x^{-1}(y\vee 1)x\vee (y\vee 1)^2=(y\vee 1)^2.$


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


Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC (2000): 06F15, 20F18, 20F12

Retrieve articles in all journals with MSC (2000): 06F15, 20F18, 20F12


Additional Information

V. V. Bludov
Affiliation: Institute of Mathematics and Economics, Irkutsk State University, Irkutsk, 664003 Russia
Email: bludov@math.isu.ru

A. M. W. Glass
Affiliation: Department of Pure Mathematics and Mathematical Statistics, Centre for Mathematical Sciences, Wilberforce Rd., Cambridge CB3 0WB, England
Email: amwg@dpmms.cam.ac.uk

DOI: http://dx.doi.org/10.1090/S0002-9947-06-03882-7
PII: S 0002-9947(06)03882-7
Keywords: Nilpotent group, residually torsion-free-nilpotent, variety, quasi-variety, commutator calculus, lattice-ordered group, weakly Abelian
Received by editor(s): December 27, 2003
Published electronically: July 25, 2006
Additional Notes: The first author was supported by the Russian Foundation for Basic Research, grant no. 03-01-00320
Dedicated: To Valerie Kopytov on his sixty-fifth birthday
Article copyright: © Copyright 2006 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.