Geodesic
On Multilinear Components of Prime Subvarieties in the Variety $\mathrm{Var}(M_{1,1})$
Matematičeskie zametki, Tome 87 (2010) no. 6, pp. 919-933

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Let $M_{1,1}$ be the matrix superalgebra over an infinite field of positive characteristic $p\ne2$. Multilinear identities of prime subvarieties in the variety $\operatorname{Var}M_{1,1}$ are described. It is shown that the set of multilinear identities of any prime subvariety in the variety $\operatorname{Var}M_{1,1}$ either coincides with the set of multilinear identities of the algebra $M_{1,1}$ or is generated by the identity $[x,y,z]=0$ or is generated by the identity $[x,y]=0$.
Keywords: prime subvariety, matrix superalgebra, multilinear identities, variety of associative algebras, Grassmann algebra, prime variety. 
@article{MZM_2010_87_6_a12,
     author = {L. M. Samoilov},
     title = {On {Multilinear} {Components} of {Prime} {Subvarieties} in the {Variety} $\mathrm{Var}(M_{1,1})$},
     journal = {Matemati\v{c}eskie zametki},
     pages = {919--933},
     publisher = {mathdoc},
     volume = {87},
     number = {6},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2010_87_6_a12/}
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L. M. Samoilov. On Multilinear Components of Prime Subvarieties in the Variety $\mathrm{Var}(M_{1,1})$. Matematičeskie zametki, Tome 87 (2010) no. 6, pp. 919-933. http://geodesic.mathdoc.fr/item/MZM_2010_87_6_a12/