Results 11 to 20 of about 273,669 (207)
Baxter algebras and Hopf algebras [PDF]
Transactions of the American Mathematical Society, 2003 By applying a recent construction of free Baxter algebras, we obtain a new class of Hopf algebras that generalizes the classical divided power Hopf algebra. We also study conditions under which these Hopf algebras are isomorphic.
Andrews, George E. +3 more
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Logical Methods in Computer Science, 2017 In this paper we investigate important categories lying strictly between the Kleisli category and the Eilenberg-Moore category, for a Kock-Z\"oberlein monad on an order-enriched category. Firstly, we give a characterisation of free algebras in the spirit of domain theory.
Dirk Hofmann, Lurdes Sousa
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Linear Algebra and Smarandache Linear Algebra [PDF]
, 2003 The present book, on Smarandache linear algebra, not only studies the Smarandache analogues of linear algebra and its applications, it also aims to bridge the need for new research topics pertaining to linear algebra, purely in the algebraic sense.
Vasantha, Kandasamy
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DMA:an algebra for multicriteria spatial modeling [PDF]
, 2006 The objective of this paper is to propose a new algebra, called decision map algebra (DMA), especially devoted to multicriteria spatial modeling. DMA is a generic and context-independent modeling language inspired from map algebra and other similar ...
Chakhar, Salem, Mousseau, Vincent
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The structure of algebraic Baer ∗-algebras
Pacific Journal of Mathematics, 2022 The purpose of this note is to describe when a general complex algebraic $^*$-algebra is pre-$C^*$-normed, and to investigate their structure when the $^*$-algebras are Baer $^*$-rings in addition to algebraicity. As a main result we prove the following theorem for complex algebraic Baer $^*$-algebras: every $^*$-algebra of this kind can be decomposed ...
Szűcs, Zsolt, Takács, Balázs
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Quadratic algebras as commutants of algebraic Hamiltonians in the enveloping algebra of Schrödinger algebras [PDF]
Annals of Physics, 2022 We discuss a procedure to determine finite sets $\mathcal{M}$ within the commutant of an algebraic Hamiltonian in the enveloping algebra of a Lie algebra $\mathfrak{g}$ such that their generators define a quadratic algebra. Although independent from any realization of Lie algebras by differential operators, the method is partially based on an ...
Rutwig Campoamor-Stursberg +1 more
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Algebraic Algebras with Involution [PDF]
Proceedings of the American Mathematical Society, 1972 The following theorem is proved: Let R R be an algebra with involution over an uncountable field
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Identities in the Algebra of Partial Maps [PDF]
, 2005 We consider the identities of a variety of semigroup-related algebras modelling the algebra of partial maps. We show that the identities are intimately related to a weak semigroup deductive system and we show that the equational theory is decidable.
Marcel Jackson +3 more
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Filtered algebraic algebras [PDF]
Proceedings of the American Mathematical Society, 2010 Small and Zelmanov posed the question whether every element of a graded algebra over an uncountable field must be nilpotent, provided that the homogeneous elements are nilpotent. This question has recently been answered in the negative by Smoktunowicz.
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Nijenhuis algebras, NS algebras, and N-dendriform algebras [PDF]
Frontiers of Mathematics in China, 2012 arXiv admin note: text overlap with arXiv:math ...
Lei, Peng, Guo, Li
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