본문 바로가기
KERD
논문KCI 등재

Generalized ideal elements in le-Γ-semigroups

2

조회

0

다운로드

0

인용

0

참고문헌

키워드

주제분류수학

초록

In this paper we introduce and give some characterizations of (m,n)-regular le-Γ-semigroup in terms of (m,n)-ideal elements and (m,n)-quasi-ideal elements. Also, we give some characterizations of subid-empotent (m,n)-ideal elements in terms of r_α- and l_α- closed elements.

Abstract

In this paper we introduce and give some characterizations of (m,n)-regular le-Γ-semigroup in terms of (m,n)-ideal elements and (m,n)-quasi-ideal elements. Also, we give some characterizations of subid-empotent (m,n)-ideal elements in terms of r_α- and l_α- closed elements.

참고문헌 (20)

  1. K. Hila, "Characterizations on regular le-􀀀-semigroups", Math. Sci. Res. J, 10(5), pp.121~130 (2006)
  2. K. Hila, "Some elements and Green's relation H in le-􀀀-semigroups", Far East J. Math. Sci. (FJMS), 21(2), pp.153~161 (2006)
  3. K. Hila, "Filters in ordered 􀀀-semigroups", Rocky Mountain J. Math, 141(1), pp.189~203 (2011)
  4. K. Hila, "On quasi-prime, weakly quasi-prime left ideals in ordered 􀀀-semigroups", Math. Slovaca, 60(2), pp.195~212 (2010)
  5. K. Hila, "On some classes of le-􀀀-semigroups", Algebras Groups Geom, 24(4), pp.485~496 (2007)
  6. K. Hila, "lattice-ordered Rees matrix 􀀀-semigroups", An. Stiint. Univ. Al. I. Cuza Iasi, Mat
  7. K. Iseki, "On (m; n)-antiideals in semigroup", Proc. Japan Acad, 38, pp.316~317 (1962)
  8. N. Kehayopulu, "On (m; n)-regular le-semigroups", Math. Balkanica, 5(27), pp.152~154 (1975)
  9. N. Kehayopulu, "Generalized ideal elements in poe-semigroups", Semigroup Forum, 25(3), pp.213~222 (1982)
  10. D. Krgovic, "On (m; n)-regular semigroups", Publ. Inst. Math. (Beograd) (N.S.), 18(32), pp.107~110 (1975)
  11. D. N. Krgovic, "Notes on semigroups II" (1976), Karl Marx Univ. Econ., Dept. Math
  12. Y. I. Kwon, "On minimal quasi-ideal elements in poe-􀀀-semigroups", Far East J. Math. Sci (FJMS), 14(3), pp.385~392 (2004)
  13. Y. I. Kwon, "Some special elements in ordered 􀀀-semigroups", Kyungpook Math. J, 35(3), pp.679~685 (1996)
  14. S. Lajos, "On generalized ideals in semigroups (In Hungarian)", Matematikai Lapok, 10(351) (1959)
  15. S. Lajos, "Generalized ideals in semigroups", Acta Sci. Math. Szeg, 22, pp.217~222 (1961)
  16. S. Lajos, "Notes on (m; n)-ideals I", Proc. Japan Acad, 39, pp.419~421 (1963)
  17. S. Lajos, "Notes on (m, n)-ideals II", Proc. Japan Acad, 40, pp.631~632 (1964)
  18. S. Lajos, "On (m, n)-ideals of semigroups", Second Hungarian Math. Congress, I, pp.42~44 (1960)
  19. M. K. Sen, "On 􀀀-semigroups, Algebra and its applications (New Delhi, 1981)", Lecture Notes in Pure and Appl. Math, 91, pp.301~308 (1984)
  20. M. K. Sen, "On 􀀀-semigroup. I", Bull. Calcutta Math. Soc, 78(3), pp.180~186 (1986)

관련 논문AI추천

이 간행물의 다른 논문 (13건)