3 papers
math.GR2026
A generalized monoid of infinite words: asymptotic prefix-suffix quotients and algebraic structure
A. Alvarez Cruz, E. A. Alvarez Gutierrez
A generalized monoid of words tilde{Sigma}* is constructed as the quotient of moderate nets of finite words by an asymptotic equivalence relation based on a bidirectional prefix-su…
math.CO2026
A Generalized Monoid of Words with Applications to Divergent Arithmetic Products
A. Alvarez Cruz, E. A. Alvarez Gutierrez
A generalized monoid of words is constructed as an extension of the free monoid Sigma-star with elements of controlled infinite length. The construction uses a bidirectional prefix…
math.CV2026
A Colombeau--Beurling criterion for the Riemann hypothesis
Amaury Alvarez Cruz, Esteban A Alvarez Gutierrez
This paper establishes an equivalence between the Riemann hypothesis and the association, together with uniform -boundedness, of a single moderate net in the Colombeau algebra…