Publication details
Which O-commutative Basic Algebras Are Effect Algebras
| Authors | |
|---|---|
| Year of publication | 2010 |
| Type | Article in Periodical |
| Magazine / Source | International Journal of Theoretical Physics |
| MU Faculty or unit | |
| Citation | |
| Web | http://dx.doi.org/10.1007/s10773-009-0221-9 |
| Field | General mathematics |
| Keywords | Basic algebra Commutative basic algebra O-commutative basic algebra Lattice effect algebra |
| Description | By a basic algebra is meant an MV-like algebra (A,+,neg,0) of type (2, 1, 0) derived in a natural way from bounded lattices having antitone involutions on their principal filters. We show that (i) atomic Archimedean basic algebras for which the operation + is o-commutative are effect algebras and (ii) atomic Archimedean commutative basic algebras are MV-algebras. This generalizes the results by Botur and Halas on finite commutative basic algebras and complete commutative basic algebras. |
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