An associated structure of a module

• Supriyo Mazumder ^[1] ; Sandip Jana
  1. [1] University of Calcutta

     University of Calcutta

     India

     
• Localización: Revista de la Academia Canaria de Ciencias: = Folia Canariensis Academiae Scientiarum, ISSN 1130-4723, Vol. 25, Nº. 2, 2013, págs. 9-22
• Idioma: inglés
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• Resumen

  • In this paper we have generalised the concept of a module in the sense that every module can be embedded into this new structure, which we name as 'quasi module', and every quasi module contains a module. In fact, we have replaced the group structure of a module by a semigroup structure and invited a partial order which has a significant role in formulating this new structure; it is this partial order which is the prime key in relating a quasi module with a module. After discussing severa! examples we have introduced the concept of order-morphism between two quasi modules, discussed its various properties and finally proved an isomorphism theorem regarding this order-morphism.