Atomicity of tolerance lattices of commutative semigroups
Baer extensions of rings and Stone extensions of semigroups.
Bases of minimal elements of some partially ordered free abelian groups
In the present paper, we will show that the set of minimal elements of a full affine semigroup contains a free basis of the group generated by in . This will be applied to the study of the group for a semilocal ring .
Bicharacters of semigroups.
Cancellative and archimedean Ideal-extensions by commutative semigroups.
Cancellative commutative semigroups.
Chains of factorizations in orders of global fields
Characterizations of effective sets and nonexpansive multipliers in conditionally complete and infinitely distributive partially ordered sets.
Characterizing topology on an Abelian semigroup by a functional equation
Combinatorial properties of products of graphs
Commutative archimedean cancellative semigroups without idempotent
Commutative monoids with zero-divisors
We describe algorithms for computing the nilradical and the zero-divisors of a finitely generated commutative -monoid. These algorithms will be used for deciding if a given ideal of a finitely generated commutative -monoid is prime, radical or primary.
Commutative semigroup cohomology.
Commutative semigroup rings which are principal ideal rings
Commutative semigroups having greatest regular images.
Commutative semigroups that are nil of index 2 and have no irreducible elements
Every commutative nil-semigroup of index 2 can be imbedded into such a semigroup without irreducible elements.
Commutative semigroups that are simple over thein endomorphism semirings
Commutative semigroups which are embeddable into epigroups.
Commutative semigroups whose homomorphic images in groups are groups.
Commutative semigroups whose lattice of tolerances is Boolean