ON THE ALGEBRAIC STRUCTURE OF TRANSPOSITION HYPERGROUPS WITH IDEMPOTENT IDENTITY

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MASSOUROS CHRISTOS G.; MASSOUROS GERASIMOS G.

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Journal Paper

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Journal: Iranian Journal of Mathematical Sciences and Informatics Year:2013 | Volume:8 | Issue:2 Page(s): 57-74

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Title

ON THE ALGEBRAIC STRUCTURE OF TRANSPOSITION HYPERGROUPS WITH IDEMPOTENT IDENTITY

Author(s)

MASSOUROS CHRISTOS G. | MASSOUROS GERASIMOS G. | Issue Writer Certificate

Keywords

HYPERGROUPS

TRANSPOSITION HYPERGROUPS

SUBHYPERGROUPS

SYM-METRIC SUBHYPERGROUPS

ATTRACTIVE ELEMENTS

Abstract

This paper studies the algebraic structure of transposition HYPERGROUPS with idempotent identity. Their subHYPERGROUPS and their properties are examined. Right, left and double cosets are defined through symmetric subHYPERGROUPS and their properties are studied. Further-more, this paper examines the homomorphisms, the behaviour of attractive and non-attractive elements through them, as well as the relation of their kernels and images to symmetric subHYPERGROUPS.

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APA: Copy

MASSOUROS, CHRISTOS G., & MASSOUROS, GERASIMOS G.. (2013). ON THE ALGEBRAIC STRUCTURE OF TRANSPOSITION HYPERGROUPS WITH IDEMPOTENT IDENTITY. IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI), 8(2), 57-74. SID. https://sid.ir/paper/310362/en

Vancouver: Copy

MASSOUROS CHRISTOS G., MASSOUROS GERASIMOS G.. ON THE ALGEBRAIC STRUCTURE OF TRANSPOSITION HYPERGROUPS WITH IDEMPOTENT IDENTITY. IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI)[Internet]. 2013;8(2):57-74. Available from: https://sid.ir/paper/310362/en

IEEE: Copy

CHRISTOS G. MASSOUROS, and GERASIMOS G. MASSOUROS, “ON THE ALGEBRAIC STRUCTURE OF TRANSPOSITION HYPERGROUPS WITH IDEMPOTENT IDENTITY,” IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI), vol. 8, no. 2, pp. 57–74, 2013, [Online]. Available: https://sid.ir/paper/310362/en

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