• Corpus ID: 14324884

DIRECT DECOMPOSITIONS OF BASIC ALGEBRAS AND THEIR IDEMPOTENT MODIFICATIONS

@inproceedings{Chajda2009DIRECTDO,
  title={DIRECT DECOMPOSITIONS OF BASIC ALGEBRAS AND THEIR IDEMPOTENT MODIFICATIONS},
  author={Ivan Chajda},
  year={2009}
}
We get a necessary and sufficient condition under which a given basic algebraA is isomorphic to a direct product of non-trivial basic algebras A1,A2 which are in fact interval subalgebras of A. Further, we prove that the idempotent modification of A is directly indecomposable whenever A has at least one element which is not boolean. 

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