Abstract
Modes are idempotent and entropic algebras. While the mode structure of sets of submodes has received considerable attention in the past, this paper is devoted to the study of mode structure on sets of mode homomorphisms. Connections between the two constructions are established. A detailed analysis is given for the algebra of homomorphisms from submodes of one mode to submodes of another. In particular, it is shown that such algebras can be decomposed as Płonka sums of more elementary homomorphism algebras. Some critical examples are examined.
Original language | English |
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Pages (from-to) | 1265-1277 |
Number of pages | 13 |
Journal | Central European Journal of Mathematics |
Volume | 12 |
Issue number | 8 |
DOIs | |
Publication status | Published - Aug 2014 |
Keywords
- Affine space
- Convex set
- Mode
- Płonka sum
- Semilattice
- Variety regularization
ASJC Scopus subject areas
- Mathematics(all)