Results 21 to 30 of about 138,244,374 (198)
On the variety of equality algebras [PDF]
Equality algebras has recently been introduced. A subclass of equality algebras, called equivalential equality algebras is closely related to BCK-algebras with meet. We show that the variety of equality algebras has nice properties: We shall investigate their congruences and filters and prove that the variety of equality algebras is a 1-regular ...
Sándor Jenei, László Kóródi
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Classification of limits of upper triangular matrix algebras. [PDF]
Let Tn be the operator algebra of upper triangular n × n complex matrices. Three families of limit algebras of the form lim (Tnk) are classified up to isometric algebra isomorphism: (i) the limit algebras arising when the embeddings Tnk→Tnk+1, are ...
Hopenwasser, A. L., Power, Stephen C.
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In this paper, we introduce and study a corresponding logic to equality-algebras and obtain some basic properties of this logic. We prove the soundness and completeness of this logic based on equality-algebras and local deduction theorem.
Shokoofeh Ghorbani
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Cycles on Algebraic Varieties [PDF]
In the present note, applying the theory of harmonic integrals, we shall show some results on cycles on algebraic varieties and give a new birational invariant.
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Kernel Approximation on Algebraic Varieties
Low-rank approximation of kernels is a fundamental mathematical problem with widespread algorithmic applications. Often the kernel is restricted to an algebraic variety, e.g., in problems involving sparse or low-rank data. We show that significantly better approximations are obtainable in this setting: the rank required to achieve a given error depends
Jason M. Altschuler, Pablo A. Parrilo
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Almost nilpotent Lie algebras [PDF]
Throughout we shall consider only finite-dimensional Lie algebras over a field of characteristic zero. In [3] it was shown that the classes of solvable and of supersolvable Lie algebras of dimension greater than two are characterised by the structure of ...
Towers, David
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The Amalgamation Property in the Variety of Regular Double Stone Algebras: A Constructive View
In this paper we give a constructive proof that the variety of Boolean algebras has the strong amalgamation property by describing constructively the strong amalgams in the variety.
Antonio Ledda +2 more
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Application of Höhle’s square roots on Hoop algebras [PDF]
In this article, we use the square root as a tool to study hoop algebras. To do so, we define square root and make the first attempt to explore the significance properties of this concept in this setting.
Mohammad Mahdi Motamedi Nezhad +1 more
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Properties and examples of FCR-algebras [PDF]
An algebra A over a field k is FCR if every finite dimensional representation of A is completely reducible and the intersection of the kernels of these representations is zero.
Kraft, Hanspeter +2 more
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Amalgamation Property in the subvarieties of Gautama and Almost Gautama Algebras [PDF]
Gautama algebras were introduced in 2022, as a common generalization of regular double Stone algebras and regular Kleene Stone algebras. Even more recently, Gautama algebras were further generalized to Almost Gautama algebras (AG for short).
Juan M. Cornejo +1 more
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