Semigroup theory examines algebraic structures consisting of a set endowed with an associative binary operation. These structures encompass a wide range of mathematical entities including monoids, ...

Monoid varieties and semigroup theory form a vibrant subfield of algebra that studies classes of algebraic structures defined by equational identities. Monoids, which are semigroups with an identity ...

Suppose Γ is a totally ordered discrete abelian group, and I is an ordered ideal in Λ. We show that the crossed product A × Γ+ by an action inflated from one Γ/I is isomorphic to the induced algebra $ ...

SIAM Journal on Numerical Analysis, Vol. 55, No. 2 (2017), pp. 980-1001 (22 pages) This paper presents a numerical method for verifying the existence and local uniqueness of a solution for an ...