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- Title
Minimal superalgebras generating minimal supervarieties.
- Authors
Di Vincenzo, Onofrio Mario; da Silva, Viviane Ribeiro Tomaz; Spinelli, Ernesto
- Abstract
It has been shown that in characteristic zero the generators of the minimal supervarieties of finite basic rank belong to the class of <italic>minimal superalgebras</italic> introduced by Giambruno and Zaicev (Trans Am Math Soc 355:5091-5117, <xref>2003</xref>). In the present paper the complete list of minimal supervarieties generated by minimal superalgebras whose maximal semisimple homogeneous subalgebra is the sum of three graded simple algebras is provided. As a consequence, we negatively answer the question of whether any minimal superalgebra generates a minimal supervariety.
- Publication
Mathematische Zeitschrift, 2018, Vol 288, Issue 1/2, p383
- ISSN
0025-5874
- Publication type
Article
- DOI
10.1007/s00209-017-1893-0