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- Title
SUBALGEBRA INDEPENDENCE.
- Authors
GOPAULSINGH, ALEXA; GYENIS, ZALÁN; ÖZTÜRK, ÖVGE
- Abstract
Subobject independence as morphism co-possibility has recently been defined in [2] and studied in the context of algebraic quantum field theory. This notion of independence is handy when it comes to systems coming from physics, but when directly applied to classical algebras, subobject independence is not entirely satisfactory. The sole purpose of this note is to introduce the notion of subalgebra independence, which is a slight variation of subobject independence, yet this modification enables us to connect subalgebra independence to more traditional notions of independence. Apart from drawing connections between subalgebra independence and coproducts and congruences, we mainly illustrate the notion by discussing examples.
- Subjects
QUANTUM field theory; GEOMETRIC congruences; MORPHISMS (Mathematics); FUNCTION algebras; HOMOMORPHISMS
- Publication
Mathematical Reports, 2023, Vol 25, Issue 4, p589
- ISSN
1582-3067
- Publication type
Article
- DOI
10.59277/mrar.2023.25.75.4.589