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On Crossed Modules in Modified Categories of Interest
Published 16 Feb 2016 in math.CT and math.RA | (1602.05156v1)
Abstract: We introduce some algebraic structures such as singularity, commutators and central extension in modified categories of interest. Additionally, we introduce the cat${1}$-objects with their connection to crossed modules in these categories which gives rise to unify many notions about (pre)crossed modules in various algebras of categories.
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