The Variety of Two-dimensional Algebras Over an Algebraically Closed Field
2018 ◽
Vol 71
(4)
◽
pp. 819-842
◽
Keyword(s):
AbstractThe work is devoted to the variety of two-dimensional algebras over algebraically closed fields. First we classify such algebras modulo isomorphism. Then we describe the degenerations and the closures of certain algebra series in the variety of two-dimensional algebras. Finally, we apply our results to obtain analogous descriptions for the subvarieties of flexible and bicommutative algebras. In particular, we describe rigid algebras and irreducible components for these subvarieties.
2017 ◽
Vol 2019
(6)
◽
pp. 1863-1893
◽
1980 ◽
Vol 29
(4)
◽
pp. 462-468
◽
2010 ◽
Vol 7
(1)
◽
pp. 55-89
◽
1981 ◽
Vol 31
(2)
◽
pp. 136-141
◽
Keyword(s):
1985 ◽
Vol 38
(3)
◽
pp. 330-350
◽
2004 ◽
Vol 77
(1)
◽
pp. 123-128
◽