Flat unars
Year: 2025
Type: article
Abstract: Flat modules over rings, acts over semigroups are modules or acts such that functor A⊗− preserves monomorphisms. A unar, i.e. a set with only an unary operation can be considered as an act over a free cycle semigroup. It is shown that a unar is flat if and only if it is a coproduct of unars, each of which is a line, ray or cycle.
Source: Russian Mathematics
Author: A. M. Pryanichnikov
Institution: Lomonosov Moscow State University
Language: English
Topic: Rings, Modules, and Algebras
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
OpenAlex ID: W4415079782