Displaying similar documents to “Green’s 𝒟 -relation for the multiplicative reduct of an idempotent semiring”

Quasitrivial semimodules. III.

Khaldoun Al-Zoubi, Tomáš Kepka, Petr Němec (2009)

Acta Universitatis Carolinae. Mathematica et Physica

Similarity:

Compatible Idempotent Terms in Universal Algebra

Ivan Chajda, Antonio Ledda, Francesco Paoli (2014)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

Similarity:

In universal algebra, we oftentimes encounter varieties that are not especially well-behaved from any point of view, but are such that all their members have a “well-behaved core”, i.e. subalgebras or quotients with satisfactory properties. Of special interest is the case in which this “core” is a retract determined by an idempotent endomorphism that is uniformly term definable (through a unary term t ( x ) ) in every member of the given variety. Here, we try to give a unified account of this...