Categorical properties of regular partially ordered pure monomorphisms
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Abstract:
Let a family of monomorphisms in the category A To study mathematical notions in a category A, such as injectivity, tensor products, flatness, with respect to a class M of its (mono)morphisms, one should know some of the categorical properties of the pair (A ,M ). In this paper we take A to be thecategory Pos-S of S-partially ordered sets and to be a particular class of monomorphisms, to be called partially ordered regular pure(po-pure)} monomorphisms. In this paper we investigate some categorical properties such as limits and colimits for this class.
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Journal title
volume 3 issue 10
pages 61- 74
publication date 2017-05-01
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