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Information Journal Paper

Title

ORDER DENSE ESSENTIALITY AND BEHAVIOR OF ORDER DENSE INJECTIVITY

Pages

  315-334

Abstract

 In this paper, we study the categorical and algebraic properties, such as limits and colimits of the category Pos-S with respect to order dense embeddings. Injectivity with respect to this class of monomorphisms has been studied by the author and used to obtain information about injectivity relative to regular monomorphisms. Then, we study three di erent kinds of essentiality, usually used in literature, with respect to the class of all order dense embed-dings of S-posets, and investigate their relations to order dense injectivity. We will see, among other things, that although all of these essential extensions are not necessarily equivalent, they behave equivalently with respect to order dense injectivity. More precisely, it is proved that order dense injectivity well behaves regarding these essentialities. Finally, a characterization of these essentialities over pogroups is given.

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    APA: Copy

    SHAHBAZ, LEILA. (2020). ORDER DENSE ESSENTIALITY AND BEHAVIOR OF ORDER DENSE INJECTIVITY. JOURNAL OF ALGEBRAIC SYSTEMS, 7(2 ), 315-334. SID. https://sid.ir/paper/268362/en

    Vancouver: Copy

    SHAHBAZ LEILA. ORDER DENSE ESSENTIALITY AND BEHAVIOR OF ORDER DENSE INJECTIVITY. JOURNAL OF ALGEBRAIC SYSTEMS[Internet]. 2020;7(2 ):315-334. Available from: https://sid.ir/paper/268362/en

    IEEE: Copy

    LEILA SHAHBAZ, “ORDER DENSE ESSENTIALITY AND BEHAVIOR OF ORDER DENSE INJECTIVITY,” JOURNAL OF ALGEBRAIC SYSTEMS, vol. 7, no. 2 , pp. 315–334, 2020, [Online]. Available: https://sid.ir/paper/268362/en

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