Add to ORKGIntroduction. It is well known that if A is an associative or alternative ring with an idempotent element e then A can be decomposed into a Peirce decomposition A = All+A10+A01+A00 relative to e with Aij = (xCAlea=ia,ae=ja for all a CA}. Kaplansky [4] has shown that if B is a nilpotent ideal of Aii then the ideal of A generated by B is also nilpotent. It is an open question whether the ideal generated b
AbstractA subspaceJof an anisotropic Jordan*-tripleAis said to be aninner idealif the subspace {JAJ}...
We give the structure of certain rings which are multiplicatively generated by nilpotents or multipl...
An element or an ideal of a commutative ring is nilregular if and only if it is regular modulo the ...
AbstractIn this paper we work with a general Peirce decomposition. This decomposition generalizes th...
In attempting to investigate infinite-dimensional simple Jordan algebras / having rich supplies of i...
Below I examine the meaning of condition (*) in any (not necessarily associative) ring and show that...
Abstract. We in this note study a ring theoretic property which unifies Armendariz and IFP. We call ...
AbstractThe main result of this paper is that a right alternative algebra R of finite dimension over...
AbstractIn this paper we find a necessary and sufficient condition for a Peirce grading of a Jordan ...
AbstractThe structure of the rings of the title is studied with an eye to giving a representative se...
AbstractAn associative ring R can be viewed as a semigroup via a∘b=a+b+ab, and as a Lie ring via [a,...
AbstractLet R be a ring of characteristic not two, satisfying the following three identities, which ...
AbstractWe study the quotient Qi(A) of a free algebra A by the ideal Mi(A) generated by the ith comm...
Let R be a ring with involution, and S the subring generated by the symmetric elements of R. By plac...
AbstractThe notion of nil derivations is a generalization of the notion of nilpotent derivations. Th...
AbstractA subspaceJof an anisotropic Jordan*-tripleAis said to be aninner idealif the subspace {JAJ}...
We give the structure of certain rings which are multiplicatively generated by nilpotents or multipl...
An element or an ideal of a commutative ring is nilregular if and only if it is regular modulo the ...
AbstractIn this paper we work with a general Peirce decomposition. This decomposition generalizes th...
In attempting to investigate infinite-dimensional simple Jordan algebras / having rich supplies of i...
Below I examine the meaning of condition (*) in any (not necessarily associative) ring and show that...
Abstract. We in this note study a ring theoretic property which unifies Armendariz and IFP. We call ...
AbstractThe main result of this paper is that a right alternative algebra R of finite dimension over...
AbstractIn this paper we find a necessary and sufficient condition for a Peirce grading of a Jordan ...
AbstractThe structure of the rings of the title is studied with an eye to giving a representative se...
AbstractAn associative ring R can be viewed as a semigroup via a∘b=a+b+ab, and as a Lie ring via [a,...
AbstractLet R be a ring of characteristic not two, satisfying the following three identities, which ...
AbstractWe study the quotient Qi(A) of a free algebra A by the ideal Mi(A) generated by the ith comm...
Let R be a ring with involution, and S the subring generated by the symmetric elements of R. By plac...
AbstractThe notion of nil derivations is a generalization of the notion of nilpotent derivations. Th...
AbstractA subspaceJof an anisotropic Jordan*-tripleAis said to be aninner idealif the subspace {JAJ}...
We give the structure of certain rings which are multiplicatively generated by nilpotents or multipl...
An element or an ideal of a commutative ring is nilregular if and only if it is regular modulo the ...