Results 11 to 20 of about 403 (256)
Ideals of the associative algebra operad
, 2023 We prove a one-to-one correspondence between the operadic ideals of the operad $\As$ and $T$-ideals. As a consequence, we show that $\As$ is noetherian and that every proper operadic ideal of $\ias$ is generated by a single element.
Bao, Y. -H. +4 more
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On Ideals and Derived and Central Descending Series of n-ary Hom-Algebras
, 2023 The aim of this work is to explore some properties of n-ary skewsymmetric Hom-algebras and n-Hom-Lie algebras related to their ideals, derived series and central descending series.
Ongong’a, Elvice, +3 more
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SMARANDACHE NON-ASSOCIATIVE RINGS [PDF]
, 2002 An associative ring is just realized or built using reals or complex; finite or infinite by defining two binary operations on it. But on the contrary when we want to define or study or even introduce a non-associative ring we need two separate algebraic ...
Vasantha, Kandasamy
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KdV hierarchies and quantum Novikov's equations [PDF]
Open Communications in Nonlinear Mathematical PhysicsThis paper begins with a review of the well-known KdV hierarchy, the $N$-th Novikov equation, and its finite hierarchy in the classical commutative case. This finite hierarchy consists of $N$ compatible integrable polynomial dynamical systems in $\mathbb{
V. M. Buchstaber, A. V. Mikhailov
doaj +1 more source
A filtration associated to an abelian inner ideal of a Lie algebra
Journal of Geometry and Physics, 2023 We would like to thank the referee for his/her careful reading of the paper and his/her useful comments and remarks.
Esther García +2 more
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On the Multilinear Complexity of Associative Algebras [PDF]
, 2023 Christandl and Zuiddam [Matthias Christandl and Jeroen Zuiddam, 2019] study the multilinear complexity of d-fold matrix multiplication in the context of quantum communication complexity. Bshouty [Nader H.
Shringi, Devansh +2 more
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On the structure of (2+1)-dimensional commutative and noncommutative integrable equations [PDF]
, 2006 We develop the symbolic representation method to derive the hierarchies of (2+1)-dimensional integrable equations from the scalar Lax operators and to study their properties globally. The method applies to both commutative and noncommutative cases in the
Jing Ping Wang, Wang, Jing Ping
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Free associative algebras, noncommutative Gröbner bases, and universal associative envelopes for nonassociative structures [PDF]
, 2013 summary:First, we provide an introduction to the theory and algorithms for noncommutative Gröbner bases for ideals in free associative algebras. Second, we explain how to construct universal associative envelopes for nonassociative structures defined by ...
Murray R. Bremner, Bremner, Murray R.
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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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