Add to ORKGLet A be a semisimple Banach algebra. We define the rank of a nonzero element a in the socle of A to be the minimum of the number of minimal left ideals whose sum contains a. Several characterizations of rank are proved
The set of all difunctional relations on an n element set is an inverse semigroup under a variation ...
AbstractDenote the rank ( = bilinear multiplicative complexity) of an associative k-algebra A by R(A...
We present new techniques for determining the least number of elements generating the product of tw...
summary:We characterize elements in a semisimple Banach algebra which are quasinilpotent equivalent ...
Throughout this paper A denotes a complex, unital Banach algebra with the minimum requirement that A...
Let R(A) denote the rank (also called bilinear complexity) of a finite dimensional associative alge...
Let R(A) denote the rank (also called bilinear complexity) of a finite dimensional associative algeb...
We determine, in a polynomial ring over a field, the arithmetical rank of certain ideals generated b...
AbstractIn this paper, we estimate the stable ranks of a Banach algebra in terms of the stable ranks...
We define the rank of elements of general unital rings, discuss its properties and give several exam...
AbstractWe define the socle of a nondegenerate Lie algebra as the sum of all its minimal inner ideal...
Let A be a commutative semi-simple Banach algebra such that the set consisting of finite sums of ele...
AbstractWe find some estimations of the stable rank of a complex commutative Banach algebra and use ...
AbstractIf A is a finite-dimensional associative k-algebra with unit, then its rank R(A), i.e. its b...
Let A be a semi-prime Banach algebra. By an ideal in A we shall always mean a two-sided ideal unless...
The set of all difunctional relations on an n element set is an inverse semigroup under a variation ...
AbstractDenote the rank ( = bilinear multiplicative complexity) of an associative k-algebra A by R(A...
We present new techniques for determining the least number of elements generating the product of tw...
summary:We characterize elements in a semisimple Banach algebra which are quasinilpotent equivalent ...
Throughout this paper A denotes a complex, unital Banach algebra with the minimum requirement that A...
Let R(A) denote the rank (also called bilinear complexity) of a finite dimensional associative alge...
Let R(A) denote the rank (also called bilinear complexity) of a finite dimensional associative algeb...
We determine, in a polynomial ring over a field, the arithmetical rank of certain ideals generated b...
AbstractIn this paper, we estimate the stable ranks of a Banach algebra in terms of the stable ranks...
We define the rank of elements of general unital rings, discuss its properties and give several exam...
AbstractWe define the socle of a nondegenerate Lie algebra as the sum of all its minimal inner ideal...
Let A be a commutative semi-simple Banach algebra such that the set consisting of finite sums of ele...
AbstractWe find some estimations of the stable rank of a complex commutative Banach algebra and use ...
AbstractIf A is a finite-dimensional associative k-algebra with unit, then its rank R(A), i.e. its b...
Let A be a semi-prime Banach algebra. By an ideal in A we shall always mean a two-sided ideal unless...
The set of all difunctional relations on an n element set is an inverse semigroup under a variation ...
AbstractDenote the rank ( = bilinear multiplicative complexity) of an associative k-algebra A by R(A...
We present new techniques for determining the least number of elements generating the product of tw...
