论文信息 - ON FINITE DIMENSIONAL ALGEBRAS WHICH ARE SUMS OF TWO SUBALGEBRAS - 字舞流文

ON FINITE DIMENSIONAL ALGEBRAS WHICH ARE SUMS OF TWO SUBALGEBRAS

In this paper, we give a general method of the construction of a 3-dimensional associative algebra R over an arbitrary field F that is a sum of two subalgebras R_1 and R_2 (i.e. R = R_1 + R_2).

J. Žemlička | M. Kosan

[1] M. Kepczyk. A ring which is a sum of two PI subrings is always a PI ring , 2017 .

[2] M. Kepczyk. A Note on Algebras that are Sums of Two Subalgebras , 2016, Canadian Mathematical Bulletin.

[3] M. Kepczyk. Note on algebras which are sums of two PI subalgebras , 2015 .

[4] E. Puczyłowski,et al. On the structure of rings which are sums of two subrings , 2004 .

[5] G. Leal,et al. On rings which are sums of two PI-subrings: A combinatorial approach , 2003 .

[6] A. Smoktunowicz. A SIMPLE NIL RING EXISTS , 2002 .

[7] E. Puczyłowski,et al. RINGS WHICH ARE SUMS OF TWO SUBRINGS SATISFYING POLYNOMIAL IDENTITIES , 2001 .

[8] Smoktunowicz Agata. On some Results Related to Köthe's Conjecture , 2001 .

[9] E. Puczyłowski,et al. Rings which are sums of two subrings , 1998 .

[10] E. Puczyłowski,et al. On radicals of rings which are sums of two subrings , 1996 .

[11] A. Mikhalev,et al. Generalized polynomial identities and rings which are sums of two subrings , 1995 .

[12] A. Kelarev. A sum of two locally nilpotent rings may be not nil , 1993 .

[13] L. A. Bokut,et al. Embeddings into simple associative algebras , 1976 .

[14] O. Kegel. On rings that are sums of two subrings , 1964 .

[15] O. Kegel. Zur Nilpotenz gewisser assoziativer Ringe , 1963 .