We introduce a new general construction, denoted by R ⋈ E, called the amalgamated duplication of a ring R along an R-module E, that we assume to be an ideal in some overring of R. (Note that, when E 2 = 0, R ⋈ E coincides with the Nagata's idealization R ⋉ E.). After discussing…
Journal of Algebra and Its Applications Template
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About the Journal of Algebra and Its Applications format
Journal of Algebra and Its Applications is a peer-reviewed journal published by World Scientific, covering Algebraic structures and combinatorial models, Advanced Topics in Algebra, Rings, Modules, and Algebras.
| Publisher | World Scientific |
|---|---|
| Reference style | Superscript numbered (World Scientific) Superscript — small raised numerals in the text 1. Smith, A., Jones, B. & Lee, C. A representative article title. Journal of Algebra and Its Applications 12, 45–58 (2023).
Formats any DOI in the closest standard style — Journal of Algebra and Its Applications has no published style definition, so this is an approximation. No sign-up. |
| Publishes research in | Algebraic structures and combinatorial models Advanced Topics in Algebra Rings, Modules, and Algebras Finite Group Theory Research Commutative Algebra and Its Applications |
| ISSN | 0219-4988 |
| Citation impact (2-yr) | 0.34 |
| h-index | 42 |
| i10-index | 523 |
| Total citations | 18,610 |
| Top institutions publishing here | Institute for Research in Fundamental Sciences |
| Journal website | www.worldscinet.com |
| You get | A submission-ready PDF and the editable LaTeX source — ready to submit. |
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Most-cited papers in Journal of Algebra and Its Applications
The aim of this paper is to develop the theory of Hom-coalgebras and related structures. After reviewing some key constructions and examples of quasi-deformations of Lie algebras involving twisted derivations and giving rise to the class of quasi-Lie algebras incorporating Hom–Lie algebras, we describe the notion and some properties of Hom-algebras and provide examples. We…
Let K denote a field and let V denote a vector space over K with finite positive dimension. We consider an ordered pair of linear transformations A:V→V and A*:V→V which satisfy the following two properties: (i) There exists a basis for V with respect to which the matrix representing A is irreducible tridiagonal and the…
Whittaker modules have been well studied in the setting of complex semisimple Lie algebras. Their definition can easily be generalized to certain other Lie algebras with triangular decomposition, including the Virasoro algebra. We define Whittaker modules for the Virasoro algebra and obtain analogues to several results from the classical setting, including a classification of simple…
We show that the method of moving quadrics for implicitizing surfaces in ℙ 3 applies in certain cases where base points are present. However, if the ideal defined by the parametrization is saturated, then this method rarely applies. Instead, we show that when the base points are a local complete intersection, the implicit equation can…