Generalized centroid of Γ-semirings.

Resumen

We define and study the generalized centroid of a semiprime Γ-semiring. We show that the generalized centroid CΓ is a multiplicatively reguler Γ-semiring and so Γ-semifield and give some properties of the generalized centroid of a semiprime Γ-semiring.

Biografía del autor

Hasret Durna, Cumhuriyet University.
Department of Mathematics, Faculty of Sciences.
Damla Yilmaz, Cumhuriyet University.
Department of Mathematics, Faculty of Sciences.

Citas

Dutta, T. K. and Sardar, S. K. : Semiprime ideals and irreducible ideals of Γ-semirings, Novi Sad J. Math., 30 (1), pp. 97-108, (2000).

Dutta, T. K. and Sardar, S. K. : On the operator semirings of a Γ-semiring; Southeast Asian Bull. Math., 26, pp. 203-213, (2002).

Rao, M. M. K. : Γ-semirings-I, Southeast Asian Bull. of Math., 19, pp. 49-54, (1995).

Rao, M. M. K. : Γ-semiring-II, Southeast Asian Bull. of Math. , 21, pp. 281-287, (1997).

Sardar,S. K. and Dasgupta, U. : On primitive Γ-semiring, Novi Sad J. Math. , 34 (1), pp. 1-12, (2004).

Sardar, S.K. : A Note on Γ-Semifield, Int. Math. Forum, 6 (18), pp. 875-879, (2011).

Yazarlı, H. and Öztürk, M. A. ; On the centroid of the prime semirings, Turk Journal of Mathematics, 37 (4), pp. 577-584, (2013).

Öztürk, M. A. : The Extended Centroid Of The Prime Γ-semirings, Analele Stiintifice ale Universitatii Al I Cuza din Iasi - Matematica, 62 (1), pp. 21-32, (2016).

Öztürk, M. A. and Jun Y. B. : On the centroid of the prime gamma rings, Comm. Korean Math. Soc. 15 (3), pp. 469-479, (2000).

Öztürk, M. A. and Jun Y. B. : On the centroid of the prime gamma rings II, Turkish J. Math. 25 (3), pp. 367-377, (2001).

Öztürk, M. A. and Jun Y. B. : Regularity of the generalized centroid of semiprime gammarings, Commun. Korean Math. Soc. 19 (2), pp. 233-242, (2004).

Publicado
2018-11-22
Cómo citar
Durna, H., & Yilmaz, D. (2018). Generalized centroid of Γ-semirings. Proyecciones. Revista De Matemática, 37(4), 805-817. Recuperado a partir de http://www.revistaproyecciones.cl/article/view/3280
Sección
Artículos