On the endormorphism ring of a simple module over an enveloping algebra

Rigid Resolution of a Finitely Generated Module Over a Regular Local Ring

Linear Algebra over a Ring

Given an associative, not necessarily commutative, ring R with identity, a formal matrix calculus is introduced and developed for pairs of matrices over R. This calculus subsumes the theory of homogeneous systems of linear equations with coefficients in R. In the case when the ring R is a field, every pair is equivalent to a homogeneous system. Using the formal matrix calculus, two alternate pr...

IRRELEVANT ATTACHED PRIME IDEALS OF A CERTAIN ARTINIAN MODULE OVER A COMMUTATIVE RING

Let M be an Artinian module over the commutative ring A (with nonzero identity) and a p spec A be such that a is a finitely generated ideal of A and aM = M. Also suppose that H = H where H. = M/ (0: a )for i

Exponentiations over the universal enveloping algebra of sl2(C)

We construct, by model-theoretic methods, several exponentiations on the universal enveloping algebra U of the Lie algebra sl2(C). MSC: 16S30, 17B10, 03C60.

On the Symmetric Enveloping Algebra of Planar Algebra Subfactors

We give a diagrammatic description of Popa’s symmetric enveloping algebras associated to planar algebra subfactors. As an application we construct a natural family of derivations on these factors, and compute a certain free entropy dimension type quantity. Introduction Inspired by Voiculescu’s [19] description of the large N limit of the distribution of families of independent random matrices, ...