On uniformly strongly prime Γ-semirings (II)

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

Abstrakty

EN

The Uniformly strongly prime k-radical of a Γ-semiring is a special class which we study via its operator semiring.

Słowa kluczowe

EN

Γ-semiring; uniformly right strongly prime Γ-semiring; annihilators; essential ideal; essential extension; uniformly strongly prime k-radical; matrix Γ-semiring; special class; super t-system

Kategorie tematyczne

• 16Y60: Semirings

• Wydawca: Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra
• Czasopismo: Discussiones Mathematicae - General Algebra and Applications
• Rocznik: 2006
• Tom: 26
• Numer: 2
• Strony: 219-231

Twórcy

autor

Tapan Kumar Dutta

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

autor

Suhrid Dhara

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

Bibliografia

• [1] G.L. Booth and N.J. Groenwald, On Uniformly Strongly Prime Γ-rings, Bull. Austral Math. Soc. 37 (1988), 437-445.
• [2] T.K. Dutta and M.L. Das, On Uniformly Strongly Prime semirings (communicated).
• [3] T.K. Dutta and S. Dhara, On Uniformly Strongly Prime Γ-semirings, Southeast Asian Bull. of Mathematics 30 (2006), 32-39.
• [4] T.K. Dutta and S.K. Sardar, On The Operator Semirings of a Γ-semiring, Southeast Asian Bull. of Mathematics, Springer-Verleg, 26 (2002), 203-213.
• [5] T.K. Dutta and S.K. Sardar, On Matrix Γ-semirings, Far East J. Math. Soci. (FJMS) 7 (1) (2002), 17-31.
• [6] G.A.P. Heyman and C. Roos, Essential extensions in radical theory for rings J. Austral. Math. Soc. Ser A, 23 (1977), 340-347.
• [7] D.M. Olson, A Uniformly Strongly Prime Radicals J. Austral Math. Soc. Ser A 43 (1) (1987), 95-102.
• [8] D.M. Olson and S. Veldsman, Some remarks on Uniformly Strongly prime Radicals, Math. Japon 33 (3) (1988), 445-455. \hfill{Received 10 July 2006 \hfill{Revised 13 September 2006

Identyfikatory

DOI

10.7151/dmgaa.1113