Journal of the Ramanujan Mathematical Society

K. S. Narayanan ¹, K. Chandra Sekhara Rao ²

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

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.

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