186 citations
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math.RA2010★ 7 cited
New Examples of Simple Jordan Superalgebras over an Arbitrary Field of Characteristic Zero
V. N. Zhelyabin
I.P. Shestakov constructed an example of a unital simple special Jordan superalgebra over the field of real numbers. It turned out to be a subsuperalgebra of the Jordan superalgebr…
math.RA2010★ 17 cited
Gröbner-Shirshov bases for Lie algebras over a commutative algebra
L. A. Bokut, Yuqun Chen, Yongshan Chen
In this paper we establish a Gröbner-Shirshov bases theory for Lie algebras over commutative rings. As applications we give some new examples of special Lie algebras (those embedda…
math.RA2004
Identities of conformal algebras and pseudoalgebras
Pavel Kolesnikov
For a given conformal algebra , we write down the correspondence between identities of the coefficient algebra $\Coeff C$ and identities of itself as of pseudoalgebra. In pa…