Some Examples of Distributive Ockham Algebras with de Morgan Skeletons

Author(s):  
T. S. Blyth
Keyword(s):  
Studia Logica ◽  
2014 ◽  
Vol 103 (4) ◽  
pp. 713-731 ◽  
Author(s):  
Xue-Ping Wang ◽  
Lei-Bo Wang
Keyword(s):  

2007 ◽  
Vol 57 (3) ◽  
pp. 291-302 ◽  
Author(s):  
Jie Fang ◽  
Zhong-Ju Sun
Keyword(s):  

2004 ◽  
Vol 12 (6) ◽  
pp. 447-459
Author(s):  
Aldo V. Figallo ◽  
Paolo Landini ◽  
Alicia Zilliani
Keyword(s):  

1981 ◽  
Vol 24 (2) ◽  
pp. 161-203 ◽  
Author(s):  
Moshe S. Goldberg

This paper centres around the variety 0 of distributive Ockham algebras, and those subvarieties of 0 which are generated by a single finite subdirectly irreducible algebra A. We use H.A. Priestley's duality for bounded distributive lattices throughout. First, intrinsic descriptions of the duals of certain finite subdirectly irreducibles are given; these are later used to determine projectives in the dual categories. Next, left adjoints to the forgetful functors from 0 and Var(A) into bounded distributive lattices are obtained, thereby allowing us to describe all free algebras and coproducts of arbitrary algebras. Finally, by applying the duality, we characterize injectivity in Var(A) for each finite subdirectly irreducible algebra A.


2012 ◽  
Vol 67 (4) ◽  
pp. 393-395
Author(s):  
H. J. Silva
Keyword(s):  

2015 ◽  
Vol 74 (1-2) ◽  
pp. 35-63 ◽  
Author(s):  
Brian A. Davey ◽  
Long T. Nguyen ◽  
Jane G. Pitkethly
Keyword(s):  

2000 ◽  
Vol 28 (3) ◽  
pp. 1271-1284 ◽  
Author(s):  
T. S. Blyth ◽  
Jie Fang
Keyword(s):  

1988 ◽  
Vol 117 (1) ◽  
pp. 165-178 ◽  
Author(s):  
T.S Blyth ◽  
A.S.A Noor ◽  
J.C Varlet
Keyword(s):  

1999 ◽  
Vol 27 (11) ◽  
pp. 5413-5422 ◽  
Author(s):  
T.S. Blyth ◽  
Jie Fang
Keyword(s):  

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