Geodesic
On the Structure Space of a Г-Semigroup via Its Left Operator Semigroup
Discussiones Mathematicae. General Algebra and Applications, Tome 42 (2022) no. 1, pp. 121-134.

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The structure space of a semigroup endowed with hull kernel topology is introduced and studied. Also the structure space of a Г-semigroup is defined and a homeomorphism has been established between structure space of a Г-semigroup and the structure space of its left operator semigroup. Moreover, various properties of structure space of a Г-semigroup are studied via its left operator semigroup.
Keywords: operator semigroup, prime ideal, hull-kernel topology, Г-semigroup 
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Goswami, Sarbani Mukherjee; Mandal, Manasi; Khanra, Biswaranjan. On the Structure Space of a Г-Semigroup via Its Left Operator Semigroup. Discussiones Mathematicae. General Algebra and Applications, Tome 42 (2022) no. 1, pp. 121-134. http://geodesic.mathdoc.fr/item/DMGAA_2022_42_1_a4/

[1] M.R. Adhikari and M.K. Das, Structure spaces of semirings, Bull. Cal. Math. Soc. 86 (1994) 313–317.

[2] S. Chattopadhyay and S. Kar, On structure space of Г -semigroup, Acta Univ. Palacki Olomuc Fac. Rer. Nat. Math. 47 (2008) 37–46.

[3] A.H. Clifford and G.B. Preston, The Algebraic Theory of Semigroups, American Math. Soc. (Providence, R.I., 1961). https://doi.org/10.1090/surv/007.1

[4] T.K. Dutta and N.C. Adhikary, On Г -semigroup with right and left unities, Soochow J. Math. 19 (4) (1993) 461–474.

[5] T.K. Dutta and S. Chattopadhyay, On Uniformly Strongly Prime -Semigroup, Annale Stiintifice Ale Universita TII “AL.I.CUZA” IASI Tomul LII, s.I, Mathematica, (2006).

[6] L. Gillman, Rings with Housdorff structure space, Fund. Math. 45 (1957) 1–16. https://doi.org/10.4064/fm-45-1-1-16

[7] C.W. Kohls, The space of prime ideals of a ring, Fund. Math. 45 (1957) 17–27. https://doi.org/10.4064/fm-45-1-17-27

[8] J. Kist, Minimal prime ideal of a commutative semigroup, Proc. London. Math. Soc. 13 (3) (1963) 31–50. https://doi.org/10.1112/plms/s3-13.1.31

[9] N.K. Saha, On Г-semigroup II, Bull. Cal. Math. Soc. 79 (1987) 331–335.

[10] N.K. Saha, On Г-semigroup III, Bull. Cal. Math. Soc. 80 (1988) 1–12.

[11] S. Schwartz, Prime ideals and maximal ideals in semigroups, Czechhoslovak Math. J. 19 (1969) 72–79. https://doi.org/10.21136/CMJ.1969.100877

[12] M.K. Sen, On Г-semigroups, in: Int. Conf. on Algebra and Its Appl., Decker Publication (Ed(s)), (New York, 1981).

[13] M.K. Sen and N.K. Saha, On Г-semigroup I, Bull. Cal. Math. Soc. 78 (1986) 180–186.

[14] J.R. Munkrees, Topology, Pearson Education India.