The Universal Multiplicative Envelope of the Free Malcev Superalgebra on One Odd Generator

DOI10.1080/00927870500454570zbMATH Open1138.17015OpenAlexW2082973230MaRDI QIDQ5469996

Natalia Zhukavets, I. P. Shestakov

Publication date: 29 May 2006

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

Full work available at URL: https://doi.org/10.1080/00927870500454570

zbMATH Keywords

central elementMalcev superalgebrafree Malcev algebraMalcev Grassmann algebrauniversal multiplicative envelope

Mathematics Subject Classification ID

Superalgebras (17A70) Alternative rings (17D05) Mal'tsev rings and algebras (17D10) Free nonassociative algebras (17A50)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• The diamond lemma for ring theory
• The ``measure of non-Lieness for Mal'tsev algebras
• Irreducible non-Lie modules for Malcev superalgebras
• Superalgebras and Dimensions of Algebras
• FREE MALCEV SUPERALGEBRA ON ONE ODD GENERATOR
• A Nonzero Element of Degree 7 in the Center of the Free Alternative Algebra

Related Items (12)

Speciality of Malcev superalgebras on one odd generator ⋮ Universal Poisson Envelope for Binary-Lie Algebras ⋮ THE FREE ALTERNATIVE SUPERALGEBRA ON ONE ODD GENERATOR ⋮ Prime \((-1,1)\) and Jordan monsters and superalgebras of vector type ⋮ Title not available (Why is that?) ⋮ A Hua-type theorem for Cayley algebras ⋮ New central elements in free alternative algebras ⋮ ANTI-COMMUTATIVE ALGEBRAS WITH SKEW-SYMMETRIC IDENTITIES ⋮ THE MALCEV POISSON SUPERALGEBRA OF THE FREE MALCEV SUPERALGEBRA ON ONE ODD GENERATOR ⋮ A retrospect of the research in nonassociative algebras in IME-USP ⋮ On the radical of a free Malcev algebra ⋮ A base of the free alternative superalgebra on one odd generator

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