Some characterizations of 2-primal ideals of a Γ-semiring

• Autorzy: Suhrid Dhara , Tapan Kumar Dutta
• Języki publikacji: EN

Abstrakty

EN

This paper is a continuation of our previous paper entitled "On 2-primal Γ-semirings". In this paper we have introduced the notion of 2-primal ideal in Γ-semiring and studied it.

Słowa kluczowe

EN

Γ-semiring; nilpotent element; 2-primal Γ-semiring; 2-primal ideal; IFP (insertion of factor property); completely prime ideal; completely semiprime ideal

Kategorie tematyczne

• 16Y99: None of the above, but in this section
• 16Y60: Semirings

• Wydawca: Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra
• Czasopismo: Discussiones Mathematicae - General Algebra and Applications
• Rocznik: 2014
• Tom: 34
• Numer: 1
• Strony: 95-107

Daty

wydano

2014

otrzymano

2013-09-10

poprawiono

2013-10-27

Twórcy

autor

Suhrid Dhara

• Department of Pure Mathematics, University of Calcutta, 35, Ballygunge Circular Road, Kolkata - 700019, India

autor

Tapan Kumar Dutta

• Department of Pure Mathematics, University of Calcutta, 35, Ballygunge Circular Road, Kolkata - 700019, India

Bibliografia

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• [3] G.F. Birkenmeier, H.E. Heatherly and E.K. Lee, Completely Prime Ideals and Associated Radicals, in: Proc. Biennial Ohio State-Denision Conference 1992, S.K. Jain and S.T. Rizvi (Ed(s)), (World Scientific, New Jersey, 1993) 102-129.
• [4] M.M.K. Rao, Γ-semiring-I, Southeast Asian Bull. Math. 19 (1995) 49-54.
• [5] M.M.K. Rao, Γ-semiring-II, Southeast Asian Bull. Math. 21 (1997) 281-287.
• [6] N. Nobusawa, On a generalization of the ring theory, Osaka J. Math. 1 (1964) 81-89.
• [7] P.J. Allen and W.R. Windham, Operator semigroup with applications to semiring, Publicationes Mathematicae 20 (1973) 161-175.
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• [10] T.K. Dutta and S.K. Sardar, On prime ideals and prime radical of a Γ-semirings, ANALELE ŞTIINŢIFICE ALE UNIVERSITĂŢII 'AL.I.CUZA' IAŞI, Matematică Tomul XLVI.s.I.a, f.2 (2000) 319-329.
• [11] T.K. Dutta and S.K. Sardar, Semiprime ideals and irreducible ideals of Γ-semirings, Novi Sad J. Math. 30 (2000) 97-108.
• [12] T.K. Dutta and S.K. Sardar, On the operator semirings of a Γ-semiring, Southeast Asian Bull. Math., Springer-Verlag 26 (2002) 203-213.
• [13] T.K. Dutta and S.K. Sardar, On Levitzki radical of a Γ-semiring, Bull. Calcutta Math. Soc. 95 (2003) 113-120.
• [14] T.K. Dutta and S. Dhara, On uniformly strongly prime Γ-semirings, Southeast Asian Bull. Math. 30 (2006) 39-48.
• [15] T.K. Dutta and S. Dhara, On uniformly strongly prime Γ-semirings (II), Discuss. Math. General Algebra and Appl. 26 (2006) 219-231.
• [16] T.K. Dutta and S. Dhara, On strongly prime Γ-semirings, ANALELE ŞTIINŢIFICE ALE UNIVERSITĂŢII 'AL.I.CUZA' DIN IAŞI(S. N.) Matematică Tomul LV, f.1 (2009) 213-224.
• [17] T.K. Dutta and S. Dhara, On 2-primal Γ-semirings, Southeast Asian Bull. Math. 37 (2013) 699-714.
• [18] T.K. Dutta, K.P. Shum and S. Dhara, On NI Γ-semirings, Int. J. Pure and Appl. Math. 84 (2013) 279-298. doi: 10.12732/ijpam.v84i3.14.
• [19] W.E. Barnes, On the Γ-rings of Nobusawa, Pacific J. Math. 18 (1966) 411-422. doi: 10.2140/pjm.1966.18.411.

Identyfikatory

DOI

10.7151/dmgaa.1215