Abstract
We introduce the definition of pseudoorthoalgebras and discuss some relationships between orthomodular lattices and pseudoorthoalgebras. Then we study the conditions that a pseudoeffect algebra is isomorphic to an “internal direct product” of ideals generated by orthogonal principal elements. At last, we give some characterizations of central elements in pseudoeffect algebras.
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Communicated by Anatolij Dvurečenskij
This work was supported by National Science Foundation of China (Grant No. 60873119), the Research Foundation for the Doctorial Program of Higher School of Ministry of Education (Grant No. 200807180005).
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Xie, Y., Li, Y. Central elements in pseudoeffect algebras. Math. Slovaca 60, 1–20 (2010). https://doi.org/10.2478/s12175-009-0163-y
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DOI: https://doi.org/10.2478/s12175-009-0163-y