Results 21 to 30 of about 403 (256)
Commutator Ideals and Semicommutator Ideals of Toeplitz Algebras Associated with Flows [PDF]
Proceedings of the American Mathematical Society, 1992 We prove that for a Toeplitz C ∗
Muhly, Paul S., Xia, Jingbo
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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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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
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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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Inner ideals in quadratic Jordan algebras [PDF]
, 1971 The inner ideals play a role in the theory of quadratic Jordan algebras analogous to that played by the one-sided ideals in the theory of associative algebras.
Kevin McCrimmon
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Associated Prime Ideals in Commutative Algebra
Interdisciplinary Research in Education, 2023 This paper aims to explain how an abstract mathematical object of higher mathematics is learnt and solved the given problem from the pedagogical perspectives resting the explanation based upon the solution of higher mathematical problem in abstract algebra.The purpose is not only to disseminate the solution of the problem but to unfold the learning ...
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