Algebraic, Number Theoretic, and Topological Aspects of Ring Theory

Paul-Jean Cahen (1946 – 2019) (Chabert).- Bhargava’s exponential functions and Bernoulli numbers associated to the set of prime numbers (Adam).- Polynomial root extensions (Anderson).- Absorbing ideals in commutative rings: A survey(Badawi).- Complement-finite ideals (Baeth).- When is a group algebra antimatter? (Baghdadi).- Yosida, Martínez, and A + B rings (Klingler).- Functional identities and maps preserving two-sided zero products (Brešar).- Bounded factorization and the ascending chain condition on principal ideals in generalized power series rings (Mooney).- Probabilities and fixed divisors of integer polynomials (Chabert).- Modules over trusses vs. modules over rings: Internal direct sums (Ferdania).- A survey on essential-like properties of Prüfer v--multiplication domains (Tartarone).- On the subatomicity of polynomial semidomains (Gotti).- Invertibility, semistar operations, and the ring of finite fractions (Juett).- The quadratic tree of a two-dimensional regular local ring (Olberding).- Reductions and core of ideals in integral domains: some recent developments (Kabbaj).- Valuative lattices and spectra (Lombardi).- Building 3-variable homogeneous integer-valued polynomials using generalized projective planesMarie MacDonald Around Prūfer extensions of rings (Picavet).- A survey on algebraic and homological properties of amalgamated algebras of commutative rings (Yassemi).- The ring of integer-valued polynomials on 3 × 3 matrices and its integral closure (Sodhi).- Simultaneous p-orderings and equidistribution (Szumowicz).- A survey on flatness in integer-valued polynomial rings (Tamoussit).- Equivalent characterizations of non-Archimedean uniform spaces (Windisch).