On The Gamma Spectrum of Multiplication Gamma Acts
Keywords:, multiplication " gamma " acts, prime gamma " subact, gamma " spectrum, Topological" gamma " acts.
In this paper we introduce the concept of topological gamma act as a generalization of Zariski topology . Some topological properties of this topology are studied. Under the concept of multiplication gamma acts various algebraic properties of topological gamma acts are given. We clarify the interplay between the properties of this topological space and the algebraic properties of the gamma acts under consideration . Also, the relation among this topological space and (multiplication ,cyclic ) gamma act was discussed . We also study separation axioms and compactness property in this topological space .
A. G. Rao. , A. Anjaneyulu. M. Rao, Duo Chained Γ- semigroups" ,Int. J. of Math.Sci., Technology and Humanities 50 (2012) 520-533.
A. F. Kamal , Gamma" Acts, M.Sc. Thesis, Univ. of Al-Mustansiriyah, (2016).
D. M. Rao, A. Anjaneyulu , A. G.Rao, , Prime Г -Radicals In Г – Semigroups", Int. J. of Math. and Eng. 138 (2011) 1250–1259 .
M. Sen , K. Saha, On Г-semigroups", Bull. Calcutta Math. ,78 (1986) 180–186.
M. S. Abbas, and A. Faris, Gamma" Acts , Inter. J. of Advan. Resea. 4 (2016) 1592-1601.
M.S. Abbas, and S.A. Jubeir, Idempotent" and Pure Gamma" Subacts of multiplication" Gamma Acts , Materials Science and Engineering , 871 (2020) 1-13.
M. Sen., On Г-semigroups", (1981) Proceeding of Int. Conf. on Algebra and its Applications, Decker Publication, New York.
M. S. Abbas, and S.A. Jubeir, The product of Gamma" Subacts of multiplication" Gamma" Act Int. Sci. Conf. of the Univ. of Bab. (2019).
N. Bourbaki,General topology" ,Verlag, New Yourk 1989.