Embedding in globals of groups and semilattices.
Epimorphisms, dominions and varieties of semigroups.
Equations on the semidirect product of a finite semilattice by a finite commutative monoid.
Erweiterungen linearer involutorischer Halbgruppen
Factorization in Krull monoids with infinite class group
Let H be a Krull monoid with infinite class group and such that each divisor class of H contains a prime divisor. We show that for each finite set L of integers ≥2 there exists some h ∈ H such that the following are equivalent: (i) h has a representation for some irreducible elements , (ii) k ∈ L.
Factorization problems in class number two
Factorization problems in semigroups.
Factorization properties of Krull monoids with infinite class group
For a non-unit a of an atomic monoid H we call the set of lengths of a. Let H be a Krull monoid with infinite divisor class group such that each divisor class is the sum of a bounded number of prime divisor classes of H. We investigate factorization properties of H and show that H has sets of lengths containing large gaps. Finally we apply this result to finitely generated algebras over perfect fields with infinite divisor class group.
Finite Abelian semigroups represented into the power set of finite groups
Finite semigroups admitting ring structure
Finitely generated left commutative semigroups are residually finite.
Finitely generated weakly reductive commutative semigroups.
Finiteness theorems for factorizations.
Function minimum associated to a congruence on integral n-tuple space.
Generalized varieties of commutative and nilpotent semigroups.
Generators and relations of Abelian semigroups and semigroup rings.
Green's relations on a periodic semigroup
Groupoids with a closure condition
Higher order relations for a numerical semigroup