Application for the recognition of Botanical Garden of Porto - Natural History and Science Museum of the University of Porto as International Camellia Garden of Execellence

Management Plan 2019-2014. Update 2020. Botanical Garden of the University of Porto

Hamming and Gilbert-Varshamov bounds in finite metric spaces with application to DNA codes

We explain some formulae that appeared in bounds on DNA codes using elementary methods in metric spaces.

Ring theoretic aspects of weak Hopf actions

Following Linchenko and Montgomery's arguments we show that the smash product of a semiprime module algebra, satisfying a polynomial identity and an involutive weak Hopf algebra is semiprime. We get new insight into the existence of non-trivial central invariant elements in non-trivial H-stable ideals of subdirect products of certain H-prime module algebras satisfying a polynomial identity by considering an adapted version of Kaplansky's theorem and by introducing a Brown-McCoy radical for mo...