Finite dimensional factor algebras of F2[X1, …, Xn] and their fixed point subalgebras

Miroslav Kureš^{*}

Show more

References

[1] G. Bini and F. Flamini, Finite Commutative Rings and Their Applications, Kluwer Academic Publishers 2002.

[2] B. Fine, “Classification of finite rings of order p2,” Mathematics Magazine 66, No. 4, 1993, pp. 248–252.

[3] J. Hrdina, M. Kure? and P. Va?ík, “A note on tame polynomial automorphisms and the security of TTM cryptosystem,” Applied and Computational Mathematics 9, No. 2, 2010, pp. 226–233.

[4] M. Kure? and W. M. Mikulski, “Natural operators lifting vector fields to bundles of Weil contact elements,” Czechoslovak Mathematical Journal 54 (129), 2004, pp. 855–867.

[5] M. Kure? and W. M. Mikulski, “Natural operators lifting 1-forms to bundles of Weil contact elements,” Bulletin of the Irish Mathematical Society 49, 2002, pp.23–41.

[6] M. Kure? and D. Sehnal, “The order of algebras with nontrivial fixed point subalgebras,” Lobachevskii Journal of Mathematics 25, 2007, pp. 187–198.

[7] M. Kure?, “The composition of polynomials by the substitution principle,” Journal of Discrete Mathematical Sciences & Cryptography 13, No. 6, 2010, pp. 543–552.

[8] M. Kure?, “Fixed point subalgebras of Weil algebras: from geometric to algebraic questions,” in Complex and Differential Geometry, Springer Proceedings of Mathematics, 2011, pp. 183–192.