Pszczoła, Krzysztof J.; Romanowska, Anna B.; Smith, Jonathan D. H. Duality for some free modes. (English) Zbl 1060.08009 Discuss. Math., Gen. Algebra Appl. 23, No. 1, 45-61 (2003). The authors describe the dual of the category of affine spaces over a field \(P\) as the category of certain affine spaces over \(P\) with constants. Other related dualities are considered as well. Reviewer: Jiří Rosický (Brno) Cited in 12 Documents MSC: 08C05 Categories of algebras 18C05 Equational categories 08B20 Free algebras Keywords:duality; affine space; varieties of modes; barycentric algebras; simplices PDFBibTeX XMLCite \textit{K. J. Pszczoła} et al., Discuss. Math., Gen. Algebra Appl. 23, No. 1, 45--61 (2003; Zbl 1060.08009) Full Text: DOI Link