Results 11 to 20 of about 29 (23)
Universal Enveloping Algebras of Lie Antialgebras [PDF]
Algebras and Representation Theory, 2010 Lie antialgebras is a class of supercommutative algebras recently appeared in symplectic geometry. We define the notion of enveloping algebra of a Lie antialgebra and study its properties. We show that every Lie antialgebra is canonically related to a Lie superalgebra and prove that its enveloping algebra is a quotient of the enveloping algebra of the ...
Leidwanger, Séverine +1 more
openaire +2 more sources
Lie antialgebras: cohomology and representations [PDF]
AIP Conference Proceedings, 2008 We describe the main algebraic and geometric properties of the class of algebras introduced in [arXiv:0705.1629]. We discuss their origins in symplectic geometry and associative algebra, and the notions of cohomology and representations. We formulate classification theorems and give a number of examples.
V. Ovsienko +4 more
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A short survey of Lie antialgebras [PDF]
Journal of Physics: Conference Series, 2014 This article is the writing notes of a talk on Lie Antialgebras given by the second author at the conference "3Quantum: Algebra Geometry Information" that held in Tallinn in July 2012. The aim of this note is to give a brief survey of the existing theory of Lie antialgebras and to suggest open questions.
Leidwanger, Séverine +1 more
openaire +2 more sources
Journal of Mathematics, Volume 2020, Issue 1, 2020., 2020 The neutrosophic cubic sets (NCSs) attained attraction of many researchers in the current time, so the need to discuss and study their stability was felt. Thus, in this article, we discuss the three types of stability of NCSs such as truth‐stability, indeterminacy‐stability, and falsity‐stability. We define the left (resp., right) truth‐left evaluative
Mohammed A. Al Shumrani +3 more
wiley +1 more source
(Φ, Ψ)-Weak Contractions in Neutrosophic Cone Metric Spaces via Fixed Point Theorems
Mathematical Problems in Engineering, Volume 2020, Issue 1, 2020., 2020 In this manuscript, we obtain common fixed point theorems in the neutrosophic cone metric space. Also, notion of (Φ, Ψ)‐weak contraction is defined in the neutrosophic cone metric space by using the idea of altering distance function. Finally, we review many examples of cone metric spaces to verify some properties.
Wadei F. Al-Omeri +3 more
wiley +1 more source
A Review on Recent Development of Neutro-Topology [PDF]
Neutrosophic Sets and SystemsSmarandache proposed NeutroAlgebra and AntiAlgebra. NeutroAlgebras and AntiAlgebras are a new research topic based on real-world scenarios. He investigated the concepts of neutro- and anti-structure. He demonstrated using NeutroAlgebra concepts that just
Bhimraj Basumatary
doaj +1 more source
Odd Jacobi Manifolds and Loday‐Poisson Brackets
Journal of Mathematics, Volume 2014, Issue 1, 2014., 2014 We construct a nonskew symmetric version of a Poisson bracket on the algebra of smooth functions on an odd Jacobi supermanifold. We refer to such Poisson‐like brackets as Loday‐Poisson brackets. We examine the relations between the Hamiltonian vector fields with respect to both the odd Jacobi structure and the Loday‐Poisson structure.
Andrew James Bruce, Luis J. Alias
wiley +1 more source
An algebraic framework of weighted directed graphs
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 58, Page 3657-3678, 2003., 2003 We show that an algebraic formulation of weighted directed graphs leads to introducing a k‐vector space equipped with two coproducts Δ and Δ˜ verifying the so‐called coassociativity breaking equation (Δ˜⊗id)Δ=(id⊗Δ)Δ˜. Such a space is called an L‐coalgebra.
Philippe Leroux
wiley +1 more source
A NeutroStructural Framework for Coordinated Development Evaluation of Land Resource Utilization and Ecological Environmental Protection [PDF]
Neutrosophic Sets and SystemsBalancing land resource utilization with ecological environmental protection has become a global necessity in the face of accelerating urbanization, agriculture expansion, and climate change.
Qian Luan
doaj +1 more source
A generalised hopf algebra for solitons
International Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 12, Page 701-718, 2002., 2002 This paper considers a generalisation of the idea of a Hopf algebra in which a commutative ring replaces the field in the unit and counit. It is motivated by an example from the inverse scattering formalism for solitons. We begin with the corresponding idea for groups, where the concept of the identity is altered.
Falleh R. Al-Solamy, Edwin J. Beggs
wiley +1 more source