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Graded identities of block-triangular matrices
(Academic Press Inc Elsevier Science, 2016)
Let F be an infinite field and UT(d(1),..., d(n)) be the algebra of upper block-triangular matrices over F. In this paper we describe a basis for the C-graded polynomial identities of UT(d(1),..., d(n)), with an elementary ...
Bifurcation of limit cycles from a centre in R-4 in resonance 1:N
(Taylor & Francis Ltd, 2009-01-01)
For every positive integer N >= 2 we consider the linear differential centre (x) over dot = Ax in R-4 with eigenvalues +/- i and +/- Ni. We perturb this linear centre inside the class of all polynomial differential systems ...
Constructions of codes through the semigroup ring B[X; 1/2(2)Z(0)] and encoding
(Pergamon-Elsevier B.V. Ltd, 2011-08-01)
For any finite commutative ring B with an identity there is a strict inclusion B[X; Z(0)] subset of B[X; Z(0)] subset of B[X; 1/2(2)Z(0)] of commutative semigroup rings. This work is a continuation of Shah et al. (2011) ...
Digit systems over commutative rings
(World Scientific Publ Co Pte Ltd, 2015)