Algebra universalis

, Volume 60, Issue 1, pp 19–35 | Cite as

A class of inherently nonfinitely based semirings

  • Igor Dolinka


We give a sufficient condition which ensures that a semiring with an idempotent addition is inherently nonfinitely based. This enables us to provide a number of small and natural examples of nonfinitely based semirings, including semirings of binary relations on a finite set.

2000 Mathematics Subject Classification:

16Y60 08B05 68R15 

Keywords and phrases:

Identities (inherently) nonfinitely based semiring 


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Copyright information

© Birkhäuser Verlag, Basel 2009

Authors and Affiliations

  1. 1.Department of Mathematics and InformaticsUniversity of Novi SadNovi SadSerbia

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