Results 81 to 90 of about 466,550 (225)
BAXTER ALGEBRAS AND DIFFERENTIAL ALGEBRAS
Differential Algebra and Related Topics, 2002 A Baxter algebra is a commutative algebra $A$ that carries a generalized integral operator. In the first part of this paper we review past work of Baxter, Miller, Rota and Cartier in this area and explain more recent work on explicit constructions of free Baxter algebras that extended the constructions of Rota and Cartier.
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Group identities on the units of algebraic algebras with applications to restricted enveloping algebras [PDF]
J. Algebra 319 (2008), no. 10, 4008--4017., 2007 An algebra is called a GI-algebra if its group of units satisfies a group identity. We provide positive support for the following two open problems. 1. Does every algebraic GI-algebra satisfy a polynomial identity? 2. Is every algebraically generated GI-algebra locally finite?
arxiv
Generalized dimension function for $W^{\ast}$-algebras of infinite type [PDF]
, 1958 Jun Tomiyama
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Mutation algebras of a nonassociative algebra
Indagationes Mathematicae, 1995 AbstractThe mutation algebra A(p, q) of a nonassociative algebra A is known to be Lie-admissible, as soon as A is flexible and Lie-admissible and p and q are elements in A, satisfying certain conditions. In the present paper it is shown that the A-algebra (a not associative assosymmetric algebra), Lie-admissible by nature but not flexible, has the ...
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Analysis of Real-World Math Problems: Theoretical Model and Classroom Application
Вопросы образования, 2016 The Russian education standards stress the importance of real-life applications of mathematics. However, the performance standards do not provide a clear idea of how a math teacher should organize their syllabus to develop such skills in students.
Galina Larina
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Certain associative algebras similar to $U(sl_{2})$ and Zhu's algebra $A(V_{L})$ [PDF]
arXiv, 1996 It is proved that Zhu's algebra for vertex operator algebra associated to a positive-definite even lattice of rank one is a finite-dimensional semiprimitive quotient algebra of certain associative algebra introduced by Smith. Zhu's algebra for vertex operator algebra associated to any positive-definite even lattice is also calculated and is related to ...
arxiv
, 2005 The firing rule of Petri nets relies on a residuation operation for the commutative monoid of natural number. We identify a class of residuated commutative monoids, called Petri algebras, for which one can mimic the token game of Petri nets to define the behaviour of generalized Petri net whose flow relation and place contents are valued in such ...
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