Categorical structures of Lie-Rinehart crossed module
A Aytekin - Turkish Journal of Mathematics, 2019 - journals.tubitak.gov.tr
Turkish Journal of Mathematics, 2019•journals.tubitak.gov.tr
… The aim of this paper is to investigate the categorical structure of the category of Lie–Rinehart
crossed modules of the same base such as equalizers, products, pullbacks, limits, and dual
objects. Similar works about crossed modules over algebras can be found in the literature [8].
Our case is quite different, because the category of … We define a full subcategory of Xmod(LR)
whose objects are Lie–Rinehart crossed modules with base L. We will denote this category
by Xmod/L. An object (R, L,∂) of Xmod/L will be called a …
crossed modules of the same base such as equalizers, products, pullbacks, limits, and dual
objects. Similar works about crossed modules over algebras can be found in the literature [8].
Our case is quite different, because the category of … We define a full subcategory of Xmod(LR)
whose objects are Lie–Rinehart crossed modules with base L. We will denote this category
by Xmod/L. An object (R, L,∂) of Xmod/L will be called a …
Abstract
In this paper we give constructions of pullback, finite product, finite limit, coproduct, colimit, pushout, etc. in a special full subcategory of the category of Lie-Rinehart crossed modules.
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