An introduction to the theory of algebraic multi-hyperring spaces

作者:Hila Kostaq*; Davvaz Bijan
来源:Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica, 2014, 22(3): 59-72.
DOI:10.2478/auom-2014-0050

摘要

A Smarandache multi-space is a union of n different spaces equipped with some different structures for an integer n >= 2 which can be used both for discrete or connected spaces, particularly for geometries and spacetimes in theoretical physics. In this paper, applying the Smarandaches notion and combining this with hyperrings in hyperring theory, we introduce the notion of multi-hyperring space and initiate a study of multi-hyperring theory. Some characterizations and properties of multi-hyperring spaces are investigated and obtained. Some open problems are suggested for further study and investigation.

  • 出版日期2014