# On uniformly strongly prime Γ-semirings (II)

Tapan Kumar Dutta; Suhrid Dhara

Discussiones Mathematicae - General Algebra and Applications (2006)

- Volume: 26, Issue: 2, page 219-231
- ISSN: 1509-9415

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topTapan Kumar Dutta, and Suhrid Dhara. "On uniformly strongly prime Γ-semirings (II)." Discussiones Mathematicae - General Algebra and Applications 26.2 (2006): 219-231. <http://eudml.org/doc/276832>.

@article{TapanKumarDutta2006,

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

author = {Tapan Kumar Dutta, Suhrid Dhara},

journal = {Discussiones Mathematicae - General Algebra and Applications},

keywords = {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; uniformly strongly prime radicals; uniformly strongly prime -semirings; special classes},

language = {eng},

number = {2},

pages = {219-231},

title = {On uniformly strongly prime Γ-semirings (II)},

url = {http://eudml.org/doc/276832},

volume = {26},

year = {2006},

}

TY - JOUR

AU - Tapan Kumar Dutta

AU - Suhrid Dhara

TI - On uniformly strongly prime Γ-semirings (II)

JO - Discussiones Mathematicae - General Algebra and Applications

PY - 2006

VL - 26

IS - 2

SP - 219

EP - 231

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

LA - eng

KW - 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; uniformly strongly prime radicals; uniformly strongly prime -semirings; special classes

UR - http://eudml.org/doc/276832

ER -

## References

top- [1] G.L. Booth and N.J. Groenwald, On Uniformly Strongly Prime Γ-rings, Bull. Austral Math. Soc. 37 (1988), 437-445. Zbl0638.16031
- [2] T.K. Dutta and M.L. Das, On Uniformly Strongly Prime semirings (communicated). Zbl1121.16039
- [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. Zbl1035.16039
- [5] T.K. Dutta and S.K. Sardar, On Matrix Γ-semirings, Far East J. Math. Soci. (FJMS) 7 (1) (2002), 17-31. Zbl1033.16022
- [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. Zbl0375.16008
- [7] D.M. Olson, A Uniformly Strongly Prime Radicals J. Austral Math. Soc. Ser A 43 (1) (1987), 95-102. Zbl0619.16003

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