On pre-reflexive algebras and pre-reflexive operators

S. C. Arora; Kanta Aggarwal

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Displaying similar documents to “On pre-reflexive algebras and pre-reflexive operators”

On Pre-parareflexive Operator Algebras

Pawan Bala (1997)

Publications de l'Institut Mathématique

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Antisymmetric operator algebras, II

Wacław Szymański (1980)

Annales Polonici Mathematici

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On the reflexivity of pairs of isometries and of tensor products of some operator algebras

Marek Ptak (1986)

Studia Mathematica

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Normalization of basic algebras

Miroslav Kolařík (2008)

Discussiones Mathematicae - General Algebra and Applications

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We consider algebras determined by all normal identities of basic algebras. For such algebras, we present a representation based on a q-lattice, i.e., the normalization of a lattice.

On isomorphisms and hyper-reflexivity of closed subspace lattices.

Han, Deguang (1991)

International Journal of Mathematics and Mathematical Sciences

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On hyper-reflexivity of some operator spaces.

Mustafayev, H.S. (1996)

International Journal of Mathematics and Mathematical Sciences

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Reflexivity of bilattices

Kamila Kliś-Garlicka (2013)

Czechoslovak Mathematical Journal

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We study reflexivity of bilattices. Some examples of reflexive and non-reflexive bilattices are given. With a given subspace lattice $ℒ$ we may associate a bilattice $Σ_{ℒ}$ . Similarly, having a bilattice $Σ$ we may construct a subspace lattice $ℒ_{Σ}$ . Connections between reflexivity of subspace lattices and associated bilattices are investigated. It is also shown that the direct sum of any two bilattices is never reflexive.

The Sheffer stroke operation reducts of basic algebras

Tahsin Oner, Ibrahim Senturk (2017)

Open Mathematics

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In this study, a term operation Sheffer stroke is presented in a given basic algebra 𝒜 and the properties of the Sheffer stroke reduct of 𝒜 are examined. In addition, we qualify such Sheffer stroke basic algebras. Finally, we construct a bridge between Sheffer stroke basic algebras and Boolean algebras.

Triple Constructions of Decomposable MS-Algebras

Abd El-Mohsen Badawy, Daniela Guffová, Miroslav Haviar (2012)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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A simple triple construction of principal MS-algebras is given which is parallel to the construction of principal $p$ -algebras from principal triples presented by the third author in [Haviar, M.: Construction and affine completeness of principal p-algebras Tatra Mountains Math. 5 (1995), 217–228.]. It is shown that there exists a one-to-one correspondence between principal MS-algebras and principal MS-triples. Further, a triple construction of a class of decomposable MS-algebras that includes...