Central elements and Cantor-Bernstein's theorem for pseudo-effect algebras
2003 ◽
Vol 74
(1)
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pp. 121-144
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Keyword(s):
AbstractPseudo-effect algebras are partial algebras (E; +, 0, 1) with a partially defined addition + which is not necessary commutative and with two complements, left and right ones. We define central elements of a pseudo-effect algebra and the centre, which in the case of MV-algebras coincides with the set of Boolean elements and in the case of effect algebras with the Riesz decomposition property central elements are only characteristic elements. If E satisfies general comparability, then E is a pseudo MV-algebra. Finally, we apply central elements to obtain a variation of the Cantor-Bernstein theorem for pseudo-effect algebras.
2001 ◽
Vol 64
(1)
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pp. 81-98
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2007 ◽
Vol 82
(2)
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pp. 183-207
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2012 ◽
Vol 42
(8)
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pp. 1078-1093
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1996 ◽
Vol 39
(4)
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pp. 429-437
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1967 ◽
Vol 18
(1)
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pp. 109-111
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Keyword(s):
1969 ◽
Vol s2-1
(1)
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pp. 3-10
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