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A Toy Model for Torsorial Nature of Representations
Graduate School of Business Sciences, University of Tsukuba, Tokyo 112-0012, Japan
Received: 29 June 2012; in revised form: 17 September 2012 / Accepted: 21 September 2012 / Published: 9 October 2012
Abstract: This paper presents a toy model for the representation related phenomena. It is the representation that is always referred to. The represented thing in itself is indeterminate existence at a fundamental level of understanding. In order to capture such property of representation, this paper provides a toy model using an algebraic structure: torsor. The toy model captures this baselessness of representation naturally, and can be used to describe various phenomena of representations. Adopting the torsor and focusing on the two-sidedness and the closure property of representation enables the toy model to express some consistency of representations.
Keywords: representation; toy model; torsor; heap; closure
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MDPI and ACS Style
Yoshitake, M. A Toy Model for Torsorial Nature of Representations. Information 2012, 3, 546-566.
Yoshitake M. A Toy Model for Torsorial Nature of Representations. Information. 2012; 3(4):546-566.
Yoshitake, Makoto. 2012. "A Toy Model for Torsorial Nature of Representations." Information 3, no. 4: 546-566.