33 citations · 58 across the 6 of their papers we have counts for
6 papers
Abelian Finite Group of DNA Genomic Sequences
Robersy Sanchez, Jesus Barreto, Eberto Morgado +1
The Z_64-algebra of the genetic code and DNA sequences of length N was recently stated. In order to beat the limits of this structure such as the impossibility of non-coding region…
Vector space of DNA genomic sequences on a Genetic Code Galois Field
Robersy Sanchez, Eberto R Morgado, Ricardo Grau
A new N-dimensional vector space of DNA sequences over the Galois field of the 64 codons (GF(64)) was recently presented. Now, in order to include deletions and insertions (indel m…
A Novel Lie Algebra of the Genetic Code over the Galois Field of Four DNA Bases
Robersy Sanchez, Ricardo Grau
By starting from the four DNA bases order in the Boolean lattice, a novel Lie Algebra of the genetic code is proposed. Here, the principal partitions of the genetic code table were…
The Genetic Code Boolean Lattice
Robersy Sanchez, Eberto Morgado, Ricardo Grau
The algebraic structures of the genetic code are most important to obtain additional information about the semantic code and its applications. In this paper we define two dual Bool…
Gene Algebra from a Genetic Code Algebraic Structure
Robersy Sanchez, Eberto Morgado, Ricardo Grau
The biological distinction between the base positions in the codon, the chemical types of bases (purine and pyrimidine) and their hydrogen bond number have been the most relevant c…
A New DNA Sequences Vector Space on a Genetic Code Galois Field
Robersy Sanchez, Luis A. Perfetti, Ricardo Grau +1
A new n-dimensional vector space of the DNA sequences on the Galois field of the 64 codons (GF(64)) is proposed. In this vector space gene mutations can be considered linear transf…