JOURNAL BROWSE
Search
Advanced SearchSearch Tips
GENERALIZED IDEAL ELEMENTS IN le-Γ-SEMIGROUPS
facebook(new window)  Pirnt(new window) E-mail(new window) Excel Download
 Title & Authors
GENERALIZED IDEAL ELEMENTS IN le-Γ-SEMIGROUPS
Hila, Kostaq; Pisha, Edmond;
  PDF(new window)
 Abstract
In this paper we introduce and give some characterizations of (m, n)-regular le--semigroup in terms of (m, n)-ideal elements and (m, n)-quasi-ideal elements. Also, we give some characterizations of subidempotent (m, n)-ideal elements in terms of - and - closed elements.
 Keywords
-semigroup;po--semigroup;poe--semigroup;-semigroup;le--semigroup;(m, n)-ideal element;(m, n)-regular le--semigroup;(m, n)-quasi-ideal element;bi-ideal elements;
 Language
English
 Cited by
 References
1.
K. Hila, Characterizations on regular $le-{\Gamma}-semigroups$, Math. Sci. Res. J. 10 (2006), no. 5, 121-130.

2.
K. Hila, Some elements and Green's relation H in $le-{\Gamma}-semigroups$, Far East J. Math. Sci. (FJMS) 21 (2006), no. 2, 153-161.

3.
K. Hila, Filters in ordered ${\Gamma}-semigroups$, Rocky Mountain J. Math. 41 (2011), no. 1, 189-203. crossref(new window)

4.
K. Hila, On quasi-prime, weakly quasi-prime left ideals in ordered ${\Gamma}-semigroups$, Math. Slovaca 60 (2010), no. 2, 195-212. crossref(new window)

5.
K. Hila, On some classes of $le-{\Gamma}-semigroups$, Algebras Groups Geom. 24 (2007), no. 4, 485-496.

6.
K. Hila and E. Pisha, On lattice-ordered Rees matrix ${\Gamma}-semigroups$, An. Stiint. Univ. Al. I. Cuza Iasi, Mat., accepted, to appear.

7.
K. Iseki, On (m, n)-antiideals in semigroup, Proc. Japan Acad. 38 (1962), 316-317. crossref(new window)

8.
N. Kehayopulu, On (m, n)-regular le-semigroups, Math. Balkanica 5 (1975), no. 27, 152-154.

9.
N. Kehayopulu, Generalized ideal elements in poe-semigroups, Semigroup Forum 25 (1982), no. 3-4, 213-222. crossref(new window)

10.
D. Krgovic, On (m, n)-regular semigroups, Publ. Inst. Math. (Beograd) (N.S.) 18(32) (1975), 107-110.

11.
D. N. Krgovic and S. Lajos, Notes on semigroups II, Karl Marx Univ. Econ., Dept. Math., Budapest 1976.

12.
Y. I. Kwon On minimal quasi-ideal elements in $poe-{\Gamma}-semigroups$, Far East J. Math. Sci (FJMS) 14 (2004), no. 3, 385-392.

13.
Y. I. Kwon and S. K. Lee, Some special elements in ordered ${\Gamma}-semigroups$, Kyungpook Math. J. 35 (1996), no. 3, 679-685.

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. Szeged 22 (1961), 217-222.

16.
S. Lajos, Notes on (m, n)-ideals I, Proc. Japan Acad. 39 (1963), 419-421. crossref(new window)

17.
S. Lajos, Notes on (m, n)-ideals II, Proc. Japan Acad. 40 (1964), 631-632. crossref(new window)

18.
S. Lajos, On (m, n)-ideals of semigroups, Second Hungarian Math. Congress, vol. I (1960), 42-44.

19.
M. K. Sen, On ${\Gamma}-semigroups$, Algebra and its applications (New Delhi, 1981), 301-308, Lecture Notes in Pure and Appl. Math., 91, Dekker, New York, 1984.

20.
M. K. Sen and N. K. Saha, On ${\Gamma}-semigroup$. I, Bull. Calcutta Math. Soc. 78 (1986), no. 3, 180-186.