Results 1 to 10 of about 3,803 (189)
Radicals of 0-regular algebras [PDF]
, 2006 We consider a generalisation of the Kurosh--Amitsur radical theory for rings (and more generally multi-operator groups) which applies to 0-regular varieties in which all operations preserve 0.
McConnell, N. R., Stokes, Tim E.
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Simple Semigroup Graded Rings [PDF]
, 2014 We show that if $R$ is a, not necessarily unital, ring graded by a semigroup $G$ equipped with an idempotent $e$ such that $G$ is cancellative at $e$, the non-zero elements of $eGe$ form a hypercentral group and $R_e$ has a non-zero idempotent $f$, then $
Nystedt, Patrik, Öinert, Johan
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Fields and rings with few types [PDF]
, 2011 Let R be an associative ring with possible extra structure. R is said to be weakly small if there are countably many 1-types over any finite subset of R. It is locally P if the algebraic closure of any finite subset of R has property P.
Cohn +13 more
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A characterization of nilpotent nonassociative algebras by invertible Leibniz-derivations [PDF]
, 2016 Moens proved that a finite-dimensional Lie algebra over field of characteristic zero is nilpotent if and only if it has an invertible Leibniz-derivation.
Kaygorodov, Ivan, Popov, Yury
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Generalized WDVV equations for B_r and C_r pure N=2 Super-Yang-Mills theory [PDF]
, 2001 A proof that the prepotential for pure N=2 Super-Yang-Mills theory associated with Lie algebras B_r and C_r satisfies the generalized WDVV (Witten-Dijkgraaf-Verlinde-Verlinde) system was given by Marshakov, Mironov and Morozov.
Hoevenaars, L. K., Martini, R.
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Skolem-Noether for nilpotent products
, 2015 We consider the structure of groups and algebras that can be represented as automorphisms or derivations of distributive products -- which includes nonassociative rings, modules, forms, and commutation of groups and nonassociative loops.
Wilson, James B.
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Some remarks on Mathieu subspaces over associative algebras
, 2016 In this paper, we generalize some of the results of [9], and add some new results. Furthermore, we take a closer look at strongly simple algebras, which are introduced in [9].Comment: 27 pages; result numbers in section 2 and the end of section 3 have ...
de Bondt, Michiel
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Moufang sets and structurable division algebras [PDF]
, 2019 A Moufang set is essentially a doubly transitive permutation group such that each point stabilizer contains a normal subgroup which is regular on the remaining vertices; these regular normal subgroups are called the root groups, and they are assumed to ...
Boelaert, Lien +2 more
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A generalization of quantales with applications to modules and rings
, 2016 We introduce a lattice structure as a generalization of meet-continuous lattices and quantales. We develop a point-free approach to these new lattices and apply these results to $R$-modules. In particular, we give the module counterpart of the well known
Bárcenas, Mauricio Medina +2 more
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Enveloping algebras that are principal ideal rings
, 2017 Let $L$ be a restricted Lie algebra over a field of positive characteristic. We prove that the restricted enveloping algebra of $L$ is a principal ideal ring if and only if $L$ is an extension of a finite-dimensional torus by a cyclic restricted Lie ...
Siciliano, Salvatore, Usefi, Hamid
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