A Universal Investigation of n-representations of n-quivers

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Abdulwahid Adnan H.

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Paper Information

Journal: CATEGORIES AND GENERAL ALGEBRAIC STRUCTURES WITH APPLICATIONS Year:2019 | Volume:10 | Issue:1 Page(s): 69-106

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Information Journal Paper

Title

A Universal Investigation of n-representations of n-quivers

Author(s)

Abdulwahid Adnan H. | Issue Writer Certificate

Keywords

QuiverQ4

representationQ4

birepresentationQ4

n-representationQ4

additive categoryQ4

abelian categoryQ4

k-linear categoryQ4

Abstract

We have two goals in this paper. First, we investigate and construct cofree coalgebras over n-representations of Quivers, limits and colimits of n-representations of Quivers, and limits and colimits of coalgebras in the monoidal categories of n-representations of Quivers. Second, for any given Quivers Q1, Q2, . . ., Qn, we construct a new Quiver Q(Q1, Q2, . . ., Qn), called an nQuiver, and identify each category Repk(Qj) of representations of a Quiver Qj as a full subcategory of the category Repk(Q(Q1, Q2, . . ., Qn) ) of representations of Q(Q1, Q2, . . ., Qn) for every j 2 {1, 2, . . ., n}.

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APA: Copy

Abdulwahid, Adnan H.. (2019). A Universal Investigation of n-representations of n-quivers. CATEGORIES AND GENERAL ALGEBRAIC STRUCTURES WITH APPLICATIONS, 10(1 ), 69-106. SID. https://sid.ir/paper/255412/en

Vancouver: Copy

Abdulwahid Adnan H.. A Universal Investigation of n-representations of n-quivers. CATEGORIES AND GENERAL ALGEBRAIC STRUCTURES WITH APPLICATIONS[Internet]. 2019;10(1 ):69-106. Available from: https://sid.ir/paper/255412/en

IEEE: Copy

Adnan H. Abdulwahid, “A Universal Investigation of n-representations of n-quivers,” CATEGORIES AND GENERAL ALGEBRAIC STRUCTURES WITH APPLICATIONS, vol. 10, no. 1 , pp. 69–106, 2019, [Online]. Available: https://sid.ir/paper/255412/en

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