New Simple Algebras Containing the Matrix Ring
Keyword(s):
We define the combinatorial simple algebras N(eAS,n,t)k, N(eAS,n,t)k+and N(eAS,n,t)[k]which contain both the matrix ring and the non-associative algebras discussed in [11]. We also define a new cyclic finite dimensional algebra which contains the matrix ring Mn(𝔽) and show that the algebra is simple (see [3] and [7]). Even more, we find the automorphism group of the algebra N(0,n,t)[1]and show that the general matrix group GLn+t(𝔽) is not a subgroup of the automorphism group Aut (N(0,n,t)[1]).
Keyword(s):
1968 ◽
Vol 20
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pp. 769-794
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2008 ◽
Vol 51
(2)
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pp. 182-194
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Keyword(s):
2019 ◽
Vol 2019
(756)
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pp. 183-226
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2020 ◽
Vol 296
(3-4)
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pp. 1157-1183
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2004 ◽
Vol 77
(1)
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pp. 123-128
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