scholarly journals Algebraic constructions for Jacobi-Jordan algebras

2021 ◽  
Author(s):  
A.L. Agore ◽  
G. Militaru
Keyword(s):  
Jordan Algebras ◽  
Algebraic Constructions

scholarly journals Filters and congruences in sectionally pseudocomplemented lattices and posets

2021 ◽  
Author(s):  
Ivan Chajda ◽  
Helmut Länger
Keyword(s):  
Algebraic Semantics ◽  
Basic Properties ◽  
Algebraic Constructions ◽  
Pseudocomplemented Lattices ◽  
Intuitionistic Logics

AbstractTogether with J. Paseka we introduced so-called sectionally pseudocomplemented lattices and posets and illuminated their role in algebraic constructions. We believe that—similar to relatively pseudocomplemented lattices—these structures can serve as an algebraic semantics of certain intuitionistic logics. The aim of the present paper is to define congruences and filters in these structures, derive mutual relationships between them and describe basic properties of congruences in strongly sectionally pseudocomplemented posets. For the description of filters in both sectionally pseudocomplemented lattices and posets, we use the tools introduced by A. Ursini, i.e., ideal terms and the closedness with respect to them. It seems to be of some interest that a similar machinery can be applied also for strongly sectionally pseudocomplemented posets in spite of the fact that the corresponding ideal terms are not everywhere defined.

Reducibly free nonspecial Jordan algebras

1989 ◽  
Vol 30 (1) ◽  
pp. 159-160 ◽  
Author(s):  
S. R. Sverchkov
Keyword(s):  
Jordan Algebras

Multiplicative-Semiprimeness of Nondegenerate Jordan Algebras

2004 ◽  
Vol 32 (10) ◽  
pp. 3995-4003 ◽  
Author(s):  
M. Cabrera ◽  
A. R. Villena
Keyword(s):  
Jordan Algebras

scholarly journals Some inertia theorems in Euclidean Jordan algebras

2009 ◽  
Vol 430 (8-9) ◽  
pp. 1992-2011 ◽  
Author(s):  
M. Seetharama Gowda ◽  
Jiyuan Tao ◽  
Melania Moldovan
Keyword(s):  
Jordan Algebras ◽  
Euclidean Jordan Algebras
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