Accession Number:

ADA071317

Title:

Quasi-Residuated Mappings and Baer Assemblies.

Descriptive Note:

Professional paper,

Corporate Author:

CENTER FOR NAVAL ANALYSES ALEXANDRIA VA

Personal Author(s):

• Blyth,T. S.
• Hardy,W. C.

Report Date:

1970-07-14

Pagination or Media Count:

31.0

Abstract:

We consider, for a given ordered set E with minimum element O, the semigroup Q of O-preserving isotone mappings on E and examine necessary and sufficient conditions under which an element in which point f belongs to set Q is such that the left resp. right annihilator of f in Q is a principal left resp. right ideal of Q generated by a particular type of idempotent. The results obtained lead us to introduce the concept of a Baer assembly which we use to extend to the case of a semilattice the Baer semigroup coordinatisation theory of lattices. We also derive a coordinatisation of particular types of semilattice. Author

Descriptors:

• *SET THEORY
• LATTICE DYNAMICS
• GROUPS(MATHEMATICS)
• THEOREMS

Subject Categories:

• Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE