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

Abstract

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

How to cite

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Tapan 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

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  1. [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. [2] T.K. Dutta and M.L. Das, On Uniformly Strongly Prime semirings (communicated). Zbl1121.16039
  3. [3] T.K. Dutta and S. Dhara, On Uniformly Strongly Prime Γ-semirings, Southeast Asian Bull. of Mathematics 30 (2006), 32-39. 
  4. [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. [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. [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. [7] D.M. Olson, A Uniformly Strongly Prime Radicals J. Austral Math. Soc. Ser A 43 (1) (1987), 95-102. Zbl0619.16003
  8.  

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