Slimming and regularization of cozero maps

Cozero maps are generalized forms of cozero elements. Two particular cases of cozero maps, slim and regular cozero maps, are significant. In this paper we present methods to construct slim and regular cozero maps from a given cozero map. The construction of the slim and the regular cozero map from a...

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Bibliographic Details
Published inCategories and general algebraic structures with applications Vol. 6; no. 1; pp. 67 - 84
Main Authors Mohamad Mehdi Ebrahimi, Abolghasem Karimi Feizabadi
Format Journal Article
LanguageEnglish
Published Shahid Beheshti University 01.01.2017
Subjects
algebraic
cozero map
Frame
regular
regularization
slim
slimming
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Summary:Cozero maps are generalized forms of cozero elements. Two particular cases of cozero maps, slim and regular cozero maps, are significant. In this paper we present methods to construct slim and regular cozero maps from a given cozero map. The construction of the slim and the regular cozero map from a cozero map are called slimming and regularization of the cozero map, respectively. Also, we prove that the slimming and regularization create reflector functors, and so we may say that they are the best method of constructing slim and regular cozero maps, in the sense of category theory. Finally, we give slim regularization for a cozero map c:M→L in the general case where A is not a Q-algebra. We use the ring and module of fractions, in this construction process.
ISSN:2345-5853
2345-5861