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Many-Valued logics and translations
(1999-12-01)
This work presents the concepts of translation and conservative translation between logics. By using algebraic semantics we introduce several conservative translations involving the classical propositional calculus and the ...
A Hopf-Galois correspondence for free algebras
(Academic Press Inc Elsevier ScienceSan DiegoEUA, 2004)
Resolution of Algebraic Systems of Equations in the Variety of Cyclic Post Algebras
(Springer, 2011-07)
There is a constructive method to define a structure of simple k-cyclic Post algebra of order p, Lp,k, on a given finite field F(pk), and conversely. There exists an interpretation Φ1 of the variety V(Lp,k) generated by ...
Clifford algebra-parametrized octonions and generalizations
(Academic Press Inc Elsevier ScienceSan DiegoEUA, 2006)
On the polynomial identities of the algebra M-11 (E)
(Elsevier Science IncNew YorkEUA, 2013)
The centre of generic algebras of small PI algebras
(Academic Press Inc Elsevier ScienceSan DiegoEUA, 2013)
Post-Lie algebras and isospectral flows
(National Academy of Sciences of UkraineKyiv, 2015)
In this paper we explore the Lie enveloping algebra of a post-Lie algebra derived from a classical R-matrix. An explicit exponential solution of the corresponding Lie bracket flow is presented. It is based on the solution ...
Identities and isomorphisms of graded simple algebras
(Elsevier Science IncNew YorkEUA, 2010)
Graded identities for tensor products of matrix (super)algebras over the Grassmann algebra
(Elsevier Science IncNew YorkEUA, 2010)