Sequential products on effect algebras

2002 ◽  
Vol 49 (1) ◽  
pp. 87-111 ◽  
Author(s):  
Stan Gudder ◽  
Richard Greechie
Keyword(s):  
Effect Algebras ◽  
Sequential Products

scholarly journals Tensor Product of Dimension Effect Algebras

Order ◽  
2020 ◽  
Author(s):  
Anna Jenčová ◽  
Sylvia Pulmannová
Keyword(s):  
Tensor Product ◽  
Effect Algebras

The Continuities of Nonadditive Functions on Effect Algebras

2010 ◽  
Vol 50 (4) ◽  
pp. 1160-1166
Author(s):  
Qingshui Lin ◽  
Ronglu Li
Keyword(s):  
Effect Algebras

Perfect residuated lattice ordered monoids

2010 ◽  
Vol 60 (6) ◽  
Author(s):  
Jiří Rachůnek ◽  
Dana Šalounová
Keyword(s):  
Probability Measure ◽  
Residuated Lattice ◽  
Residuated Lattices ◽  
Heyting Algebras ◽  
Effect Algebras ◽  
Quantum Logics ◽  
Mv Algebras ◽  
Intuitionistic Logics

AbstractBounded Rℓ-monoids form a large subclass of the class of residuated lattices which contains certain of algebras of fuzzy and intuitionistic logics, such as GMV-algebras (= pseudo-MV-algebras), pseudo-BL-algebras and Heyting algebras. Moreover, GMV-algebras and pseudo-BL-algebras can be recognized as special kinds of pseudo-MV-effect algebras and pseudo-weak MV-effect algebras, i.e., as algebras of some quantum logics. In the paper, bipartite, local and perfect Rℓ-monoids are investigated and it is shown that every good perfect Rℓ-monoid has a state (= an analogue of probability measure).

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