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State-morphism algebras -- general approach. - MaRDI portal

State-morphism algebras -- general approach. (Q2450653)

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State-morphism algebras -- general approach.
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    State-morphism algebras -- general approach. (English)
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    14 May 2014
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    The paper gives a remarkable contribution to state BL-algebras giving necessary and sufficient conditions to their subdirect irreducibility. Then subdirectly irreducible state-morphism algebras are completely characterized. Moreover the generators of varieties of state-morphism algebras are studied and the general results are applied to some special cases.
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    state MV-algebras
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    state BL-algebras
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    state-morphism algebras
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    congruence extension property
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    generators
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    diagonal subalgebra
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    non-associative t-norm
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    MTL-algebras
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    non-associative BL-algebras
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    pseudo MV-algebras
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    subdirect irreducibility
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