Content Semimodules

Authors

  • Rafieh Razavi Nazari Faculty of Mathematics, K. N. Toosi University of Technology, Tehran, Iran
  • Shaban Ghalandarzadeh Faculty of Mathematics, K. N. Toosi University of Technology, Tehran, Iran

Keywords:

Semiring, Content semimodule, Multiplication semimodule, Normally flat semimodule

Abstract

The purpose of this paper is to study content semimodules. We obtain some results on content semimodules similar to the corresponding ones on content modules. We study normally flat content semimodules and multiplication content semimodules. Moreover, we characterize content semimodules over discrete valuation semirings and Boolean algebras.

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Published

2017-12-01

Issue

Section

Asociative Rings and Algebras