Results 41 to 50 of about 117,907,174 (136)
Minimal generators of the defining ideal of the Rees Algebra associated to monoid parameterizations
17 pages, amsart latex, revised version accepted for publication in the Journal Computer Aided Geometric Design.
Teresa Cortadellas Benítez +1 more
openaire +2 more sources
Von-Neumann Finiteness and Reversibility in some Classes of Non-Associative Algebras
We investigate criteria for von-Neumann finiteness and reversibility in some classes of non-associative algebras. Types of algebras that are studied include alternative, flexible, quadratic and involutive algebras, as well as algebras obtained by the ...
Darpö, Erik,, Nystedt, Patrik,
core +1 more source
Buchsbaumness in Rees Algebras Associated to Ideals of Minimal Multiplicity
Let \(I\) be an \({\mathfrak m}\)-primary ideal in a Cohen-Macaulay local ring \((A,{\mathfrak m})\). In this article, the author studies the Buchsbaum property of the Rees algebra \(R(I)= A[It]\) of \(I\) and the associated graded ring \(G(I)= \bigoplus I^n/I^{n+1}\) of \(I\). Namely: Theorem 1.1. Let \(Q=(a_1,a_2, \dots, a_d)\) be a minimal reduction
openaire +1 more source
Lie algebras with a small number of ideals [PDF]
We determine the Lie algebras such that their number of ideals is at most five. A complete classification is given of the solvable Lie algebras in this class over algebraically closed fields of characteristic zero and the real ...
M.Pilar Benito Clavijo +1 more
core +1 more source
Finite Generation of Algebras Associated to Powers of Ideals
17 pages.
Cutkosky, Steven Dale +2 more
openaire +2 more sources
VAGUE POSITIVE IMPLICATIVE AND VAGUE ASSOCIATIVE LI -IDEALS OF LATTICE IMPLICATION ALGEBRAS [PDF]
We vaguefy the concepts of positive implicative LI -ideals and associative LI -ideals of lattice implication algebras. We investigate the connections to related classes.
Babu V Amarendra, T Anitha
core
Determinantal varieties, monomial semigroups, and algebras associated with ideals [PDF]
This paper is concerned with the Rees and symmetric algebras of powers of ideals generated by A A -sequences.
openaire +1 more source
On ideals of free associative algebras generated by a single element
In the 1930’s, Wilhelm Magnus [.5], [6] proved some deep theorems about groups presented on a single relation, perhaps the most famous of which are the Freiheitssatz and the solvability of the word problem. With the proper definitions, the statements of Magnus’ theorems translate immediately into conjectures about associative linear algebras.
Lewin, Jacques, Lewin, Tekla
openaire +2 more sources
Minimal ideals in quadratic Jordan algebras
In associative and alternative algebras a minimal ideal is either trivial or simple. This is not known for quadratic Jordan algebras. In the present note we show that a minimal ideal is either trivial or D \mathcal {D ...
Kevin McCrimmon, Seong Nam Ng
core +1 more source
Jordan-Lie Inner Ideals of Finite Dimensional Associative Algebras
A subspace B of a Lie algebra L is said to be an inner ideal if [B, [B,L]] ⊆ B. Suppose that L is a Lie subalgebra of an associative algebra A. Then an inner ideal B of L is said to be Jordan-Lie if B2 = 0.
Hasan Mohammed Ali Saeed Shlaka (7809311)
core +4 more sources

