Derivation dα,β of ordered G-semirings

In this paper, we introduce the concept of derivation dα,β of ordered G-semiring. We study some of the properties of derivation dα,β of ordered G-semirings. We prove that if a derivation dα,β is nonzero on an integral G-semiring M then it is non-zero on any non-zero ideal of M and we characterize k-...

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Published inMathematica Moravica Vol. 22; no. 2; pp. 117 - 130
Main Authors Murali, Krishna, Kumar, Rajendr, Venkateswarlu, Bolineni, Bandaru, Ravi
Format Journal Article
LanguageEnglish
Published University of Kragujevac, Faculty of Technical Sciences Čačak 2018
Subjects
derivation
G-semiring
integral ordered G-semiring
ordered G-semiring
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Summary:In this paper, we introduce the concept of derivation dα,β of ordered G-semiring. We study some of the properties of derivation dα,β of ordered G-semirings. We prove that if a derivation dα,β is nonzero on an integral G-semiring M then it is non-zero on any non-zero ideal of M and we characterize k-ideal and m - k ideal using derivation dα,β of ordered G-semiring.
ISSN:1450-5932
2560-5542
DOI:10.5937/MatMor1802117M