ORDER DENSE INJECTIVITY OF S-POSETS

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SHAHBAZ LEILA

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Journal: CATEGORIES AND GENERAL ALGEBRAIC STRUCTURES WITH APPLICATIONS Year:2015 | Volume:3 | Issue:1 Page(s): 43-63

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Information Journal Paper

Title

ORDER DENSE INJECTIVITY OF S-POSETS

Author(s)

SHAHBAZ LEILA | Issue Writer Certificate

Keywords

REGULAR MONOMORPHISMQ4

ORDER DENSE SUB S-POSETQ4

ORDER DENSE INJECTIVEQ4

Abstract

In this paper, the notion of injectivity with respect to order dense embeddings in the category ofS-posets, posets with a monotone action of a pomonoidS on them, is studied. We give a criterion, like the Baer condition for injectivity of modules, or Skornjakov criterion for injectivity ofS-sets, for the order dense injectivity. Also, we consider such injectivity forS itself, and its order dense ideals. Further, we define and study some kinds of weak injectivity with respect to order dense embeddings, consider their relations with order dense injectivity. Also investigate if these kinds of injectivity are preserved or reflected by products, coproducts, and direct sums ofS-posets.

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APA: Copy

SHAHBAZ, LEILA. (2015). ORDER DENSE INJECTIVITY OF S-POSETS. CATEGORIES AND GENERAL ALGEBRAIC STRUCTURES WITH APPLICATIONS, 3(1), 43-63. SID. https://sid.ir/paper/255422/en

Vancouver: Copy

SHAHBAZ LEILA. ORDER DENSE INJECTIVITY OF S-POSETS. CATEGORIES AND GENERAL ALGEBRAIC STRUCTURES WITH APPLICATIONS[Internet]. 2015;3(1):43-63. Available from: https://sid.ir/paper/255422/en

IEEE: Copy

LEILA SHAHBAZ, “ORDER DENSE INJECTIVITY OF S-POSETS,” CATEGORIES AND GENERAL ALGEBRAIC STRUCTURES WITH APPLICATIONS, vol. 3, no. 1, pp. 43–63, 2015, [Online]. Available: https://sid.ir/paper/255422/en

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