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Equivalence between varieties of square root rings and Boolean algebras with a distinguished automorphism
(Academic Press Inc Elsevier Science, 2006-05)
In this paper we study the variety R2 of square root rings, that is, commutative rings with unit, of characteristic two, with the square root as an additional operation. We prove that this variety is generated by the finite ...
Algebraic bivariant K-theory and Leavitt path algebras
(European Mathematical Society, 2021-02-02)
We investigate to what extent homotopy invariant, excisive and matrix stable homology theories help one distinguish between the Leavitt path algebras L.E/ and L.F / of graphs E and F over a commutative ground ring `. We ...
Semiprimality and nilpotency of nonassociative rings satisfying x(yz) = y(zx)COMMUNICATIONS IN ALGEBRA
(TAYLOR & FRANCIS INC, 2016)
Semiprimality and nilpotency of nonassociative rings satisfying x(yz) = y(zx)COMMUNICATIONS IN ALGEBRA
(TAYLOR & FRANCIS INC, 2016)
Picard-graded betti numbers and the defining ideals of cox ringsJOURNAL OF ALGEBRA
(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2016)
Hochschild cohomology of triangular matrix algebras
(Academic Press Inc Elsevier Science, 2000-11)
We study the Hochschild cohomology of triangular matrix rings B=R0AMRA , where A and R are finite dimensional algebras over an algebraically closed field K and M is an A-R-bimodule. We prove the existence of two long exact ...
Conjugacy theorems for loop reductive group schemes and Lie algebras
(Springer, 2014-01)
The conjugacy of split Cartan subalgebras in the finite-dimensional simple case (Chevalley) and in the symmetrizable Kac–Moody case (Peterson–Kac) are fundamental results of the theory of Lie algebras. Among the Kac–Moody ...
On skew braces
(EMS Publishing House, 2018-02)
Braces are generalizations of radical rings, introduced by Rump to study involutive non-degenerate set-theoretical solutions of the Yang-Baxter equation (YBE). Skew braces were also recently introduced as a tool to study ...
A Basis Theorem for 2-rigs and Rig Geometry
(Centre National de la Recherche Scientifique. Faculté des Sciences. Laboratoire amiénois de mathématique fondamentale et appliquée, 2021-10)
Un semi-anneau unitaire commutatif (ou rig, en abrégé) est integral si 1 + x = 1. Nous montrons que, de meme que le classique ‘gros topos’ de Zariski associé a un corps algébriquement clos, le topos classifiant Z des rigs ...