Results 31 to 40 of about 403 (256)
On Lie-Admissible Algebras Whose Commutator Lie Algebras Are Lie Subalgebras of Prime Associative Algebras [PDF]
, 2000 We describe third power associative multiplications ∗ on noncentral Lie ideals of prime algebras and skew elements of prime algebras with involution provided that x∗y−y∗x=[x,y] for all x,y and the prime algebras in question do not satisfy polynomial ...
Chebotar, M.A., Beidar, K.I.
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Jordan-Lie Inner Ideals of Finite Dimensional Associative Algebras [PDF]
, 2018 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)
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Strong test ideals associated to Cartier algebras [PDF]
Journal of Algebra and Its Applications, 2019 In this note, we use the theory of test ideals and Cartier algebras to examine the interplay between the tight and integral closures in a local ring of positive characteristic. Using work of Schwede, we prove the abundance of strong test ideals, recovering some older fundamental results, and use this approach in concrete computations.
Florian Enescu, Irina Ilioaea
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BIALGEBRAIC STRUCTURES AND SMARANDACHE BIALGEBRAIC STRUCTURES [PDF]
, 2003 The study of bialgebraic structures started very recently. Till date there are no books solely dealing with bistructures. The study of bigroups was carried out in 1994-1996. Further research on bigroups and fuzzy bigroups was published in 1998.
VASANTHA, KANDASAMY
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Asymptotic growth of algebras associated to powers of ideals [PDF]
Mathematical Proceedings of the Cambridge Philosophical Society, 2009 AbstractWe study generalized symbolic powers and form ideals of powers and compare their growth with the growth of ordinary powers, and we discuss the question of when the graded rings attached to symbolic powers or to form ideals of powers are finitely generated.
Cutkosky, Steven Dale +2 more
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Closed Lie Ideals in Operator Algebras [PDF]
, 1981 If M is an associative algebra with product xy, M can be made into a Lie algebra by endowing M with a new multiplication [x, y] = xy – yx. The Poincare-Birkoff-Witt Theorem, in part, shows that every Lie algebra is (Lie) isomorphic to a Lie subalgebra of
C. Robert Miers
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Minimal ideals in quadratic Jordan algebras [PDF]
, 1983 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
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Products of commutator ideals of some Lie-admissible algebras [PDF]
, 2022 In this article, we mainly study the products of commutator ideals of Lie-admissible algebras such as Novikov algebras, bicommutative algebras, and assosymmetric algebras.
Nam, Tran Giang +3 more
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Mathieu subspaces of associative algebras [PDF]
, 2012 Motivated by the Mathieu conjecture (Mathieu, 1997 [M]), the image conjecture (Zhao, 2010 [Z3]) and the well-known Jacobian conjecture (Keller, 1939 [K]; see also Bass et al., 1982 [BCW] and van den Essen, 2000 [E1]), the notion of Mathieu subspaces as a
Zhao, Wenhua, Wenhua Zhao
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Intelligent Tutoring Systems for Adult Learning in STEM Disciplines
New Directions for Adult and Continuing Education, EarlyView.ABSTRACT Intelligent tutoring systems (ITS) are reshaping adult learning in STEM by providing adaptive, data‐driven instruction across classrooms, workplaces, and informal environments. In the context of ITS, this article compares generative AI, which creates personalized explanations and practice materials, with explainable AI, which focuses on ...
Jill Zarestky, Amanda R. Lager Gleason
wiley +1 more source