Injectivity of modules over trusses
Yongduo Wang, Shujuan Han, Dengke Jia, Jian He, Dejun Wu
TL;DR
This paper introduces the concept of injective modules over trusses, explores their properties, and establishes Schanuel Lemmas for both projective and injective modules in this context.
Contribution
It is the first to define injective modules over trusses and prove fundamental lemmas analogous to classical module theory.
Findings
Introduction of injective modules over trusses
Proof of Schanuel Lemmas for these modules
Establishment of foundational properties
Abstract
As the dual notion of projective modules over trusses, injective modules over trusses are introduced. The Schanuel Lemmas on projective and injective modules over trusses are exhibited in this paper.
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Taxonomy
TopicsAdvanced Theoretical and Applied Studies in Material Sciences and Geometry · Advanced Numerical Analysis Techniques