The algebra of mode homomorphisms

• Autorzy: Kira Adaricheva , Anna Romanowska , Jonathan Smith
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Mode; Convex set; Affine space; Semilattice; Variety regularization; Płonka sum

Kategorie tematyczne

• 52A01: Axiomatic and generalized convexity
• 08A05: Structure theory
• 06A12: Semilattices

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2014
• Tom: 12
• Numer: 8
• Strony: 1265-1277

Daty

wydano

2014-08-01

online

2014-05-08

Twórcy

autor

Kira Adaricheva

autor

Anna Romanowska

• Warsaw University of Technology

autor

Jonathan Smith

• Iowa State University

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-014-0405-2