Congruences and ideals in pseudo effect algebras as total algebras (Q989692)
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scientific article; zbMATH DE number 5774077
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Congruences and ideals in pseudo effect algebras as total algebras |
scientific article; zbMATH DE number 5774077 |
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Congruences and ideals in pseudo effect algebras as total algebras (English)
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23 August 2010
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Congruences and ideals in pseudo-effect algebras and their total algebra versions are studied. It is shown that every congruence of the total algebra induces a Riesz congruence in the corresponding pseudo-effect algebra. Conversely, to every normal Riesz ideal in a pseudo-effect algebra there is a total algebra in which the given ideal induces a congruence of the total algebra. Ideals of total algebras corresponding to lattice-ordered pseudo-effect algebras are characterized and it is shown that they coincide with normal Riesz ideals in the pseudo-effect algebras.
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pseudo-effect algebra
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ideal
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congruence
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commutative directoid
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0.97395873
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0.9487085
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0.9228686
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0.91040677
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0.9073861
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0.9067408
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