The Horn theory of Boole's partial algebras

2013 ◽  
Vol 19 (1) ◽  
pp. 97-105
Author(s):  
Stanley N. Burris ◽  
H. P. Sankappanavar
Keyword(s):  
Horn Theory ◽  
Partial Algebras ◽  
Horn Sentences

AbstractThis paper augments Hailperin's substantial efforts (1976/1986) to place Boole's algebra of logic on a solid footing. Namely Horn sentences are used to give a modern formulation of the principle that Boole adopted in 1854 as the foundation for his algebra of logic—we call this principle The Rule of 0 and 1.

PUSHOUTS OF PARTIAL HOMOMORPHISMS OF PARTIAL ALGEBRAS II: CLOSED QUOMORPHISMS

2003 ◽  
Vol 02 (04) ◽  
pp. 471-500
Author(s):  
R. ALBERICH ◽  
F. ROSSELLÓ
Keyword(s):  
Basic Problem ◽  
Arbitrary Signature ◽  
Partial Algebras

We characterize the pairs of closed homomorphisms and closed quomorphisms of partial Σ-algebras that have a pushout in the corresponding category, for an arbitrary signature Σ. The latter characterization solves the basic problem previous to the development of a single-pushout approach to the transformation of partial algebras based on closed quomorphisms.

Horn sentences with (W) and weak Mal'cev conditions

1984 ◽  
Vol 19 (2) ◽  
pp. 217-230 ◽  
Author(s):  
G�bor Cz�dli ◽  
Alan Day
Keyword(s):  
Horn Sentences

scholarly journals Semigroups, Horn sentences and isolic structures

1975 ◽  
Vol 61 (1) ◽  
pp. 87-101
Author(s):  
Erik Ellentuck
Keyword(s):  
Horn Sentences

scholarly journals Unbounded $C$*-Seminorms and *-Representations of Partial *-Algebras

2001 ◽  
Vol 20 (2) ◽  
pp. 295-314 ◽  
Author(s):  
Fabio Bagarello ◽  
A. Inoue ◽  
Camillo Trapani
Keyword(s):  
Partial Algebras

scholarly journals Weights on Partial *-Algebras

1995 ◽  
Vol 192 (3) ◽  
pp. 920-941 ◽  
Author(s):  
J.P. Antoine ◽  
Y. Soulet ◽  
C. Trapani
Keyword(s):  
Partial Algebras

Partial *-Algebras

2002 ◽  
pp. 257-300
Author(s):  
Jean-Pierre Antoine ◽  
Atsushi Inoue ◽  
Camillo Trapani
Keyword(s):  
Partial Algebras
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