Algebra Seminar talk
2015-05-08
Helmut Länger
Subdirectly irreducible commutative idempotent semirings
Abstract:
Semirings are unitary rings whose addition operation is not necessarily invertible.
They also generalize distributive lattices. Since every variety is generated by its
subdirectly irreducible members it is important to know all of these members.
Generalizing a result of Guzm\'an who solved this problem for the variety of Boolean
semirings we provide a partial solution of this problem for the larger variety of
commutative idempotent semirings.