On Right Alternative Superalgebras

DOI10.1080/00927872.2014.975344zbMath1384.17007OpenAlexW2245389174MaRDI QIDQ2802185

Lucia S. I. Murakami, Juaci Picanço da Silva, Ivan Pavlovic Shestakov

Publication date: 25 April 2016

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2014.975344

zbMATH Keywords

bimodulessuperalgebrasright alternative algebras

Mathematics Subject Classification ID

Superalgebras (17A70) Right alternative rings (17D15)

Related Items (16)

Simple finite-dimensional right-alternative unital superalgebras with associative-commutative even part over a field of characteristic zero ⋮ Finite-dimensional right alternative superalgebras with semisimple strongly alternative even part ⋮ Simple finite-dimensional right-alternative unital superalgebras with strongly associative even part ⋮ Simple right-alternative superalgebras with semisimple even part ⋮ A finite-dimensional singular superalgebra is algebraically generated ⋮ Structure of singular superalgebras with 2-dimensional even part and new examples of singular superalgebras ⋮ Singular 6-dimensional superalgebras ⋮ Right alternative superalgebras of capacity 1 with strongly alternative even part ⋮ Structure of some unital simple Jordan superalgebras with associative even part ⋮ Simple 5-dimensional right alternative superalgebras with trivial even part ⋮ Simple finite-dimensional right alternative superalgebras with unitary even part over a field of characteristic 0 ⋮ Simple right-alternative unital superalgebras over an algebra of matrices of order 2 ⋮ Linearly generated singular superalgebras ⋮ Algebraically generated superalgebras ⋮ Simple asymmetric doubles, their automorphisms and derivations ⋮ A retrospect of the research in nonassociative algebras in IME-USP

Cites Work

• The theory of Lie superalgebras. An introduction
• Quantization of Poisson superalgebras and speciality of Jordan Poisson superalgebras
• Simple Jordan superalgebras with semisimple even part.
• The structure of right alternative algebras
• Representations of exceptional simple alternative superalgebras of characteristic 3
• JORDAN SUPERALGEBRAS DEFINED BY BRACKETS
• Classification of simple z-graded lie superalgebras and simple jordan superalgebras
• Simple finite-dimensional Jordan superalgebras of prime characteristic
• Irreducible unital right alternative bimodules

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