On ideals in regular ternary semigroups

Tapan K. Dutta; Sukhendu Kar; Bimal K. Maity

Discussiones Mathematicae - General Algebra and Applications (2008)

  • Volume: 28, Issue: 2, page 147-159
  • ISSN: 1509-9415

Abstract

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In this paper we study some interesting properties of regular ternary semigroups, completely regular ternary semigroups, intra-regular ternary semigroups and characterize them by using various ideals of ternary semigroups.

How to cite

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Tapan K. Dutta, Sukhendu Kar, and Bimal K. Maity. "On ideals in regular ternary semigroups." Discussiones Mathematicae - General Algebra and Applications 28.2 (2008): 147-159. <http://eudml.org/doc/276907>.

@article{TapanK2008,
abstract = {In this paper we study some interesting properties of regular ternary semigroups, completely regular ternary semigroups, intra-regular ternary semigroups and characterize them by using various ideals of ternary semigroups.},
author = {Tapan K. Dutta, Sukhendu Kar, Bimal K. Maity},
journal = {Discussiones Mathematicae - General Algebra and Applications},
keywords = {ternary semigroup; ternary group; regular ternary semigroup; completely regular ternary semigroup; intra-regular ternary semigroup; semiprime ideal; bi-ideal; completely regular ternary semigroups; intra-regular ternary semigroups; semiprime ideals; bi-ideals},
language = {eng},
number = {2},
pages = {147-159},
title = {On ideals in regular ternary semigroups},
url = {http://eudml.org/doc/276907},
volume = {28},
year = {2008},
}

TY - JOUR
AU - Tapan K. Dutta
AU - Sukhendu Kar
AU - Bimal K. Maity
TI - On ideals in regular ternary semigroups
JO - Discussiones Mathematicae - General Algebra and Applications
PY - 2008
VL - 28
IS - 2
SP - 147
EP - 159
AB - In this paper we study some interesting properties of regular ternary semigroups, completely regular ternary semigroups, intra-regular ternary semigroups and characterize them by using various ideals of ternary semigroups.
LA - eng
KW - ternary semigroup; ternary group; regular ternary semigroup; completely regular ternary semigroup; intra-regular ternary semigroup; semiprime ideal; bi-ideal; completely regular ternary semigroups; intra-regular ternary semigroups; semiprime ideals; bi-ideals
UR - http://eudml.org/doc/276907
ER -

References

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  1. [1] M. Amyari and M.S. Moslehian, Approximate homomorphisms of Ternary Semigroups, Lett. Math. Phys. 77 (2006), 1-9. Zbl1112.39021
  2. [2] T.K. Dutta and S. Kar, On Regular Ternary Semirings, Advances in Algebra, Proceedings of the ICM Satellite Conference in Algebra and Related Topics, World Scientific (2003), 343-355. Zbl1041.16040
  3. [3] T.K. Dutta and S. Kar, A Note On Regular Ternary Semirings, Kyungpook Mathematical Journal 46 (3) 357-365. 
  4. [4] J.M. Howie, Fundamentals of Semigroup Theory, Clarendon Press, Oxford, 1995. 
  5. [5] J. Los, On the extending of models I, Fundamenta Mathematicae 42 (1955), 38-54. Zbl0065.00401
  6. [6] M.S. Moslehian and L. Szekelyhidi, Stability of ternary homomorphisms via generalized Jensen equation, Results in Math. 49 (2006), 289-300. Zbl1114.39010
  7. [7] J. von Neumann, On regular rings, Proc. Nat. Acad. Sci. USA 22 (1936), 707-713. Zbl0015.38802
  8. [8] M.L. Santiago, Some contributions to the study of ternary semigroups and semiheaps, (Ph.D. Thesis, 1983, University of Madras). 
  9. [9] F.M. Sioson, Ideal theory in ternary semigroups, Math. Japonica 10 (1965), 63-84. Zbl0247.20085
  10. [10] Tamas Vasile, Regular ternary rings, An. Stiin. Univ. Al. I. Cuza. Ia si Sec. Ia Mat. 33 (2) (1987), 89-92. 

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