Central elements in pseudoeffect algebras |
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| Authors: | Yongjian Xie Yongming Li |
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| Institution: | (1) Department of Mathematics, Shaanxi Normal University, 710062 Xi’an, People’s Republic of China;(2) School of Science, Xi’an Polytechnic University, 710048 Xi’an, People’s Republic of China |
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| 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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