Elasticity in certain block monoids via the Euclidean table
Elasticity of A + XB[X] when A ⊂ B is a minimal extension of integral domains
We investigate the elasticity of atomic domains of the form ℜ = A + XB[X], where X is an indeterminate, A is a local domain that is not a field, and A ⊂ B is a minimal extension of integral domains. We provide the exact value of the elasticity of ℜ in all cases depending the position of the maximal ideals of B. Then we investigate when such domains are half-factorial domains.
Equivalent Categories of Divisible Modules.
Exact sequences of semi-value groups.