Ideals and Separation Axioms in LSTBCH-Algebras<br><p class=

V. Thiruveni; M. Jansi

doi:https://doi.org/10.14445/22315373/IJMTT-V60P513

International Journal of Mathematics Trends and Technology

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Volume 60 | Number 2 | Year 2018 | Article Id. IJMTT-V60P513 | DOI : https://doi.org/10.14445/22315373/IJMTT-V60P513

Ideals and Separation Axioms in LSTBCH-Algebras

V. Thiruveni, M. Jansi

Abstract

There has been some recent interest in applying topological notions to non-mainstream algebras [3, 4]. In our paper [12], we define the notion of topological BCH-algebras, give some examples and prove some important theorems. In this paper we discuss some algebraic properties such as ideals and topological properties such as T0,T1,&T2-axioms in LS topological BCH-algebra.

Keywords

Positive implicative TBCH-algebra,LST₀BCH, LST_!BCH, LST₂BCH-algebras

References

[1] Ahn S.S and Kwon S.S, Topological properties in BCC-algebras, Communication Korean Math. Society, 23(2008),169-178.
[2] Borzooei R.A, Rezaei G.R and Kouhestani N, On (Semi)Topological BL-algerbas, Iranian J. of Math., Sci. and Inf., Vol. 6(2011),56-77.
[3] Choe T.H and Greechie R.J, Profinite, Orthomodular lattices, Proc. American Math. Society, 118(1993), 1053-1060.
[4] Choe T.H, Greechie R.J and Chae Y, Representations of locally compact orthomodular lattices, Topology Appl. 56(1994) 165-173.
[5] Hu Q.P and Li X, On Proper BCH-algebras, Math. Japan, 30(1985), 659-669.
[6] Hu Q.P and Li X, On BCH-algebras, Math. Seminar Notes 11(1983), 313-320.
[7] Imai .Y and Iseki. K: On axiom systems of propositional calculi XIV, Proc. Japan Acad. Ser A, Math. Sci., 42(1996), 19-22.
[8] Iseki. K: An algebra related with a propositional calculus, Proc. Japan Acad. Ser A, Math. Sci., 42(1996), 26-29.
[9] Iseki .K and Tanaka .S: An introduction to theory of BCK-algebras, Math. Japo. 23(1978), 26-29.
[10] Iseki .K: On BCI-algebras, Math. Seminar notes. 11(1980), 313-320.
[11] K. Iseki: On BCI-algebras, Math. Seminar notes. 8(1980), 125-130.
[12] Jansi .M and Thiruveni .V: Topological structrues on BCH-algebras, IJIRSET vol 6, 2017 22592-22600.
[13] Karamat Hussain Dar and Muhammad Akram: On Endomorphisms of BCH-algebras, Annals OF University of Craiova Math. Comp. Sci. Ser. Vol. 33 (2006) 234-237.

Citation :

V. Thiruveni, M. Jansi, "Ideals and Separation Axioms in LSTBCH-Algebras

," International Journal of Mathematics Trends and Technology (IJMTT), vol. 60, no. 2, pp. 86-89, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V60P513