200,356 research outputs found
JACOBSON RADICAL ALGEBRAS WITH QUADRATIC GROWTH
No full textWe 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
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A letter from Eric Jacobson to Dr. Hector P. Garcia.
No full textA letter from Eric Jacobson, for the University of North Texas History Department, to Dr. Hector P. Garcia, thanking him for a recent meeting
Proper Ferroelectricity in the Dion?Jacobson Material CsBi2Ti2NbO10: Experiment and Theory
No full textA 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
The Jacobson radical of rings with nilpotent homogeneous elements
No full textA result of Bergman says that the Jacobson radical of a graded algebra is homogeneous. It is shown that while graded Jacobson radical algebras have homogeneous elements nilpotent, it is not the case that graded algebras all of whose homogeneous elements are nilpotent are Jacobson radical. To contrast this, the following result of the author is slightly extended. Let R be a graded algebra generated in the degree one. If for every n, the n x n matrix algebra over R has all homogeneous elements nilpotent, then R is Jacobson radical.</p
Jacobson-Lab/AG_readthrough: AG_readthrough 1.0.0
No full text<p>Scripts and data from Mangkalaphiban et al.</p>
On the unit-Jacobson graph
No full text<p>In this paper, we introduce the unit-Jacobson graph, which is defined by the unit elements and the elements of the Jacobson radical of a commutative ring R with nonzero identity. We give relationships between this new graph concept and some special rings such as j-clean rings, UJ-rings, local rings, and cartesian rings. Moreover, we investigate the concepts of the dominating set, diameter, and girth on the unit-Jacobson graph.</p>
On Jacobson radical of ternary Γ−semirings
No full textIn this article, we first introduce the concept of a new type of Jacobson radical of a ternary Γ−semiring T which is defined by semiregularity. Several characterization theorems of this type of Jacobson radical are given.</p
Buddhism and the emerging world civilization essays in honor of Nolan Pliny Jacobson
No full textThis captivating new book, a milestone in Buddhist and comparative studies, is a compilation of seventeen essays celebrating the work and thought of Nolan Pliny Jacobson. The essays in this volume are organized around Jacobson's activities, publications, and interests. Authored by an impressive selection of scholars, the essays are grouped into four sections - "Historical Context," "Central Issues," "Practical Implications," and "The Japan Emphasis." Hajime Nakamura, Charles Hartshorne, Kenneth K. Inada, Seizo Ohe, and thirteen other philosophers discuss freedom, creativity, and Buddhism's self-corrective nature, setting forth their reasons for sharing Jacobson's ideas and visions
Jacobson (Yoram) La Pensée hassidique
No full textAzria Régine. Jacobson (Yoram) La Pensée hassidique. In: Archives de sciences sociales des religions, n°70, 1990. p. 277
Formamidinium-Based Dion-Jacobson Layered Hybrid Perovskites: Structural Complexity and Optoelectronic Properties
No full textLayered hybrid perovskites have emerged as a promising alternative to stabilizing hybrid organic–inorganic perovskite materials, which are predominantly based on Ruddlesden-Popper structures. Formamidinium (FA)-based Dion-Jacobson perovskite analogs are developed that feature bifunctional organic spacers separating the hybrid perovskite slabs by introducing 1,4-phenylenedimethanammonium (PDMA) organic moieties. While these materials demonstrate competitive performances as compared to other FA-based low-dimensional perovskite solar cells, the underlying mechanisms for this behavior remain elusive. Here, the structural complexity and optoelectronic properties of materials featuring (PDMA)FAn–1PbnI3n+1 (n = 1–3) formulations are unraveled using a combination of techniques, including X-ray scattering measurements in conjunction with molecular dynamics simulations and density functional theory calculations. While theoretical calculations suggest that layered Dion-Jacobson perovskite structures are more prominent with the increasing number of inorganic layers (n), this is accompanied with an increase in formation energies that render n > 2 compositions difficult to obtain, in accordance with the experimental evidence. Moreover, the underlying intermolecular interactions and their templating effects on the Dion-Jacobson structure are elucidated, defining the optoelectronic properties. Consequently, despite the challenge to obtain phase-pure n > 1 compositions, time-resolved microwave conductivity measurements reveal high photoconductivities and long charge carrier lifetimes. This comprehensive analysis thereby reveals critical features for advancing layered hybrid perovskite optoelectronics.</p
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