Results 51 to 60 of about 117,907,174 (136)

Linear associative algebras

open access: yes, 1973
Linear Associative Algebras focuses on finite dimensional linear associative algebras and the Wedderburn structure theorems.The publication first elaborates on semigroups and groups, rings and fields, direct sum and tensor product of rings, and ...
Abian, Alexander
core  

Inner ideals in quadratic Jordan algebras

open access: yes, 1971
The inner ideals play a role in the theory of quadratic Jordan algebras analogous to that played by the one-sided ideals in the theory of associative algebras.
Kevin McCrimmon
core   +1 more source

Polynomial Poisson algebras: Gel'fand-Kirillov problem and Poisson spectra [PDF]

open access: yes, 2014
We study the fields of fractions and the Poisson spectra of polynomial Poisson algebras. First we investigate a Poisson birational equivalence problem for polynomial Poisson algebras over a field of arbitrary characteristic.
Lecoutre, César
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On the Gorenstein Property of the Associated Graded Ring and the Rees Algebra of an Ideal

open access: yesJournal of Algebra, 1993
L'A. généralise les principaux resultats obtenus dans ses articles précédents [J. Pure Appl. Algebra 69, No. 2, 185-191 (1990; Zbl 0723.13005) and J. Algebra 141, No. 1, 143-157 (1991; Zbl 0736.13018)] sur la propriété de Gorenstein pour l'anneau gradué associé à un idéal et de module gradué associé au module canonique.
openaire   +1 more source

On operator algebras associated with monomial ideals in noncommuting variables

open access: yes, 2015
We study operator algebras arising from monomial ideals in the ring of polynomials in noncommuting variables, through the apparatus of subproduct systems and C*-correspondences. We provide a full comparison amongst the related operator algebras. For our analysis we isolate a partially defined dynamical system, to which we refer as the {\em quantised ...
Kakariadis, Evgenios T. A.   +1 more
openaire   +2 more sources

Cartan subalgebras in Lie algebras of associative algebras

open access: yes, 2006
We obtain a description of the Cartan subalgebras of Lie algebras arising from associative algebras and highlight their connections with the associative structure of the underlying algebra.
SICILIANO, Salvatore
core   +1 more source

On semi-modular subalgebras of Lie algebras over fields of arbitrary characteristic. [PDF]

open access: yes, 2008
This paper is a further contribution to the extensive study by a number of authors of the subalgebra lattice of a Lie algebra. It is shown that, in certain circumstances, including for all solvable algebras, for all restricted Lie algebras over ...
Towers, David A.
core   +1 more source

Congruences and ideals in lattice effect algebras as basic algebras [PDF]

open access: yes, 2009
summary:Effect basic algebras (which correspond to lattice ordered effect algebras) are studied. Their ideals are characterized (in the language of basic algebras) and one-to-one correspondence between ideals and congruences is shown.
Pulmannová, Silvia, Vinceková, Elena
core  

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