1,383,965 research outputs found

    JACOBSON RADICAL ALGEBRAS WITH QUADRATIC GROWTH

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    We show that over every countable algebraically closed field K there exists a finitely generated K-algebra that is Jacobson radical, infinite-dimensional, generated by two elements, graded and has quadratic growth. We also propose a way of constructing examples of algebras with quadratic growth that satisfy special types of relations.</p

    A. O. Jacobson

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    This house was originally built by Michael Mauss in 1910. It is located at 365 Vine Street. Alfred O. Jacobson moved his family into the house in 1923. More information included with photo. Courtesy of Venda Jacobso

    Goat rancher, Texas.

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    Stereograph of a herd of goats on a ranch.Attributed to: Doerr & Jacobson. Verso: [handwritten] Goat rancher. Texas. No - 18 -

    [Young Girl Smiling]

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    Verso: [imprinted] Doerr & Jacobson, 63 Commerce St., San Antonio, Tex

    [Couple, Man Seated and Woman Standing]

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    Verso: [imprinted] Doerr & Jacobson, 63 Commerce St., San Antonio, Tex

    [Young Woman]

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    Verso: [imprinted] Doerr & Jacobson, Photographer. San Antonio, Texas

    Proper Ferroelectricity in the Dion?Jacobson Material CsBi2Ti2NbO10: Experiment and Theory

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    A diverse range of materials and properties are exhibited by layered perovskites. We report on the synthesis, characterization, and computational investigation of a new ferroelectric?CsBi2Ti2NbO10, an n = 3 member of the Dion?Jacobson (DJ) family. Structural studies using variable temperature neutron powder diffraction indicate that a combination of octahedral rotations and polar displacements result in the polar structure. Density functional theory calculations reveal that the wider perovskite blocks in CsBi2Ti2NbO0 stabilize proper ferroelectricity, in contrast to the hybrid-improper ferroelectricity reported for all other DJ phases. Our results raise the possibility of a new class of proper ferroelectric materials analogous to the well-known Aurivillius phases

    [Woman, Facing Left]

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    Verso: [imprinted] Doerr & Jacobson, 63 Commerce Street, San Antonio, Texas

    [Man, Facing Left]

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    Verso: [imprinted] Photographers, Doerr & Jacobson, 63 Commerce Street, San Antonio, Texas. Duplicates Can Be Had At Any Time., Express Print
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