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Multiloop algebras, iterated loop algebras and extended affine Lie algebras of nullity 2
(European Mathematical Society, 2014-01)
Let M(n) be the class of all multiloop algebras of finite dimensional simple Lie algebras relative to n-tuples of commuting finite order automorphisms. It is a classical result that M(n) the class of all derived algebras ...
On the multi-Koszul property for connected algebras
(Univ Bielefeld, 2013-12)
In this article we introduce the notion of multi-Koszul algebra for the case of a locally finite dimensional nonnegatively graded connected algebra, as a generalization of the notion of (generalized) Koszul algebras defined ...
On prelinear Hilbert algebras with successor
(Elsevier Science, 2020-10)
In this paper we give an explicit description of the left adjoint of the forgetful functor from the algebraic category of Gödel algebras with successor to the algebraic category of bounded prelinear Hilbert algebras with ...
An Algebraic Study of Tense Operators on Nelson Algebras
(Springer, 2021-04-02)
Ewald considered tense operators G, H, F and P on intuitionistic propositional calculus and constructed an intuitionistic tense logic system called IKt. In 2014, Figallo and Pelaitay introduced the variety IKt of IKt-algebras ...
On the existence of a derived equivalence between a Kozul algebra and its Yoneda Algebra
(World Scientific, 2014-01)
In this paper, we study the derived categories of a Koszul algebra and its Yoneda algebra to determine when those categories are triangularly equivalent. We prove that the simply connected Koszul algebras are derived ...
Algebraic functions in Łukasiewicz implication algebras
(World Scientific, 2016-03)
In this article we study algebraic functions in {→, 1}-subreducts of MV-algebras, also known as Łukasiewicz implication algebras. A function is algebraic on an algebra A if it is definable by a conjunction of equations on ...
On Nichols algebras over basic Hopf algebras
(Springer, 2020-12-02)
This is a contribution to the classification of finite-dimensional Hopf algebras over an algebraically closed field k of characteristic 0. Concretely, we show that a finite-dimensional Hopf algebra whose Hopf coradical is ...
Algebraic functions in quasiprimal algebras
(Wiley VCH Verlag, 2014-04)
A function is algebraic on an algebra math formula if it can be implicitly defined by a system of equations on math formula. In this note we give a semantic characterization for algebraic functions on quasiprimal algebras. ...
Free Łukasiewicz implication algebras
(Springer, 2008-06)
Łukasiewicz implication algebras are the {→,1}-subreducts of MV- algebras. They are the algebraic counterpart of Super-Łukasiewicz Implicational Logics investigated in Komori (Nogoya Math J 72:127-133, 1978). In this paper ...
Examples of pointed color Hopf algebras
(World Scientific, 2014-04)
We present examples of color Hopf algebras, i.e. Hopf algebras in color categories (braided tensor categories with braiding induced by a bicharacter on an abelian group), related with quantum doubles of pointed Hopf algebras. ...