Journal of the Ramanujan Mathematical Society

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Studies in Subdirectly irreducible Triple Systems and in a class of Lattice - Ordered Triple Systems


Affiliations
1 Department of Mathematics, The M. D.T. Hindu College, Tirunelveli 627 010, India
2 Department of Mathematics, Aijkgappa University, Karaikudi 623 003, India
     

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In this paper we introduce the concepts of subdirectly irreducible triple systems, lattice - ordered triple systems, f-triple systems, l-ideals and the J-radical of an f-triple system. We study about idempotent elements in the above triple systems and show that an associative f-triple system with atleast one non-zero idempotent element is l-semi simple. Also we obtain some properties enjoyed by the idempotent heart in a subdirectly irreducible triple system.
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  • Studies in Subdirectly irreducible Triple Systems and in a class of Lattice - Ordered Triple Systems

Abstract Views: 226  |  PDF Views: 0

Authors

K. S. Narayanan
Department of Mathematics, The M. D.T. Hindu College, Tirunelveli 627 010, India
K. Chandra Sekhara Rao
Department of Mathematics, Aijkgappa University, Karaikudi 623 003, India

Abstract


In this paper we introduce the concepts of subdirectly irreducible triple systems, lattice - ordered triple systems, f-triple systems, l-ideals and the J-radical of an f-triple system. We study about idempotent elements in the above triple systems and show that an associative f-triple system with atleast one non-zero idempotent element is l-semi simple. Also we obtain some properties enjoyed by the idempotent heart in a subdirectly irreducible triple system.