pseudoeffect algebras
Recently Published Documents


TOTAL DOCUMENTS

13
(FIVE YEARS 0)

H-INDEX

4
(FIVE YEARS 0)

2018 ◽  
Vol 23 (5) ◽  
pp. 1465-1475 ◽  
Author(s):  
Ivan Chajda ◽  
Davide Fazio ◽  
Antonio Ledda


2018 ◽  
Vol 23 (3) ◽  
pp. 735-745
Author(s):  
S. Pulmannová


2012 ◽  
Vol 62 (4) ◽  
Author(s):  
Ivan Chajda

AbstractWeak effect algebras were introduced by the author as a generalization of effect algebras and pseudoeffect algebras. It was shown that having a basic algebra, we can restrict its binary operation to orthogonal elements only and what we get is just a weak effect algebra. However, the converse construction is impossible due to the fact that the underlying poset of a basic algebra is a lattice which need not be true for weak effect algebras. Hence, we found a weaker structure than a basic algebra which can serve as a representation of a weak effect algebra.



2011 ◽  
Vol 16 (3) ◽  
pp. 485-492
Author(s):  
Hai-Yang Li ◽  
Ji-Gen Peng


2011 ◽  
Vol 15 (12) ◽  
pp. 2479-2488 ◽  
Author(s):  
David J. Foulis ◽  
Sylvia Pulmannová ◽  
Elena Vinceková


2010 ◽  
Vol 89 (3) ◽  
pp. 335-358 ◽  
Author(s):  
DAVID J. FOULIS ◽  
SYLVIA PULMANNOVÁ ◽  
ELENA VINCEKOVÁ

AbstractEffect algebras, which generalize the lattice of projections in a von Neumann algebra, serve as a basis for the study of unsharp observables in quantum mechanics. The direct decomposition of a von Neumann algebra into types I, II, and III is reflected by a corresponding decomposition of its lattice of projections, and vice versa. More generally, in a centrally orthocomplete effect algebra, the so-called type-determining sets induce direct decompositions into various types. In this paper, we extend the theory of type decomposition to a (possibly) noncommutative version of an effect algebra called a pseudoeffect algebra. It has been argued that pseudoeffect algebras constitute a natural structure for the study of noncommuting unsharp or fuzzy observables. We develop the basic theory of centrally orthocomplete pseudoeffect algebras, generalize the notion of a type-determining set to pseudoeffect algebras, and show how type-determining sets induce direct decompositions of centrally orthocomplete pseudoeffect algebras.



2010 ◽  
Vol 50 (4) ◽  
pp. 1186-1197 ◽  
Author(s):  
Yongjian Xie ◽  
Yongming Li ◽  
Jiansheng Guo ◽  
Fang Ren ◽  
Dechao Li


2010 ◽  
Vol 60 (1) ◽  
pp. 1-20 ◽  
Author(s):  
Yongjian Xie ◽  
Yongming Li

AbstractWe 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.



2007 ◽  
Vol 12 (5) ◽  
pp. 487-492 ◽  
Author(s):  
Hai-Yang Li ◽  
Sheng-Gang Li


Sign in / Sign up

Export Citation Format

Share Document