A Pseudo Representation Theoremfor Various Categories of Relationsm
نویسندگان
چکیده
It is well-known that, given a Dedekind category R the category of (typed) matrices with coeecients from R is a Dedekind category with arbitrary relational sums. In this paper we show that under slightly stronger assumptions the converse is also true. Every atomic Dedekind category R with relational sums and subobjects is equivalent to a category of matrices over a suitable basis. This basis is the full proper subcategory induced by the integral objects of R. Furthermore, we use our concept of a basis to extend a known result from the theory of heterogeneous relation algebras.
منابع مشابه
The Role of Architectural Representation on the Formation of the Mental Image of Tourist Destination (Case Study: Traditional Dwellings in the Data Theory Method)
The aim of this study was to explain the role of place representation in shaping the mental image of tourists from traditional residences. Representing the architecture of traditional residences in cyberspace as one of the most important sources of effective information in shaping the image of tourist destinations is of great importance. Today, traditional resorts as one of the most important t...
متن کاملA Pseudo Representation Theorem for Various Categories of Relations
It is well-known that, given a Dedekind categoryR the category of (typed) matrices with coefficients from R is a Dedekind category with arbitrary relational sums. In this paper we show that under slightly stronger assumptions the converse is also true. Every atomic Dedekind category R with relational sums and subobjects is equivalent to a category of matrices over a suitable basis. This basis i...
متن کاملrDNAse: R package for generating various numerical representation schemes of DNA sequences
The rDNAse R package can generate various feature vectors for DNA sequences, this R package could: 1) Calculate three nucleic acid composition features describing the local sequence information by means of kmers (subsequences of DNA sequences); 2) Calculate six autocorrelation features describing the level of correlation between two oligonucleotides along a DNA sequence in terms of their specif...
متن کاملA Universal Investigation of $n$-representations of $n$-quivers
noindent 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 $mathit{Q}_1$,$mathit{Q}_2$,..., $mathit{Q}_n$, we construct a new quiver $math...
متن کامل