Few subpowers, congruence distributivity and near-unanimity terms

Author： Marković Petar  

Publisher： Springer Publishing Company

ISSN： 0002-5240

Source： algebra universalis, Vol.58, Iss.2, 2008-03, pp. : 119-128

Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.

Previous Menu Next

Abstract

We prove that for any variety $$mathcal{V}$$ , the existence of an edge-term (defined in [1]) and Jónsson terms is equivalent to the existence of a near-unanimity term. We also characterize the idempotent Maltsev conditions which are defined by a system of linear absorption equations and which imply congruence distributivity.

Related content

Jónsson Terms and Near-Unanimity Functions in Finite Posets

By Kun Gábor   Szabó Csaba  

Order, Vol. 20, Iss. 4, 2003-11 ,pp. : 291-298 (8)

Springer Publishing Company

Access to resources Recommend Favorite

The existence of a near-unanimity term in a finite algebra is decidable

By  

The Journal of Symbolic Logic, Vol. 74, Iss. 3, 2009-09 ,pp. : 1001-1014 (14)

Cambridge University Press

Access to resources Recommend Favorite

Monotone clones, residual smallness and congruence distributivity

By  

Bulletin of the Australian Mathematical Society, Vol. 41, Iss. 2, 1990-04 ,pp. : 283-300 (18)

Cambridge University Press

Access to resources Recommend Favorite

Posets, near unanimity functions and zigzags

By  

Bulletin of the Australian Mathematical Society, Vol. 47, Iss. 1, 1993-02 ,pp. : 79-93 (15)

Cambridge University Press

Access to resources Recommend Favorite

On a generalization of distributivity

By  

The Journal of Symbolic Logic, Vol. 59, Iss. 3, 1994-09 ,pp. : 1055-1067 (13)

Cambridge University Press

Access to resources Recommend Favorite