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math.RA2019
Some remarks on non projective Frobenius algebras and linear codes
José Gómez-Torrecillas, Erik Hieta-aho, F. J. Lobillo +2
With a small suitable modification, dropping the projectivity condition, we extend the notion of a Frobenius algebra to grant that a Frobenius algebra over a Frobenius commutative…
math.RA2012
Polycyclic codes over Galois rings with applications to repeated-root constacyclic codes
Sergio R. Lopez-Permouth, Hakan Ozadam, Ferruh Ozbudak +1
Cyclic, negacyclic and constacyclic codes are part of a larger class of codes called polycyclic codes; namely, those codes which can be viewed as ideals of a factor ring of a polyn…
math.RA2005
On the Goldie Dimension of Hereditary Rings and Modules
H. Q. Dinh, P. A. Guil Asensio, S. R. Lopez-Permouth
We find a bound for the Goldie dimension of hereditary modules in terms of the cardinality of the generator sets of its quasi-injective hull. Several consequences are deduced. In p…