Sirus Jahanpanah - Department of Mathematics, University of Payame Noor, Tehran, Iran,
Roohallah Daneshpayeh - Department of Mathematics, University of Payame Noor, Tehran, Iran,

This paper introduces the concept of L-sub D-algebras and presents the notions of (reproduced, loyal, L-edge and L-transitive) L-sub D-algebra and considers the relation between them. It presents the notion of reproduced L-sub D-algebras and investigates the relation between these concepts. We try to convert the L-sub D-algebras to L-monoids under some conditions such as loyally of L-subsets. The concepts of the stabilizer and straightener of D-algebras are introduced based on L-sub D-algebras and is tried to convert of the D-algebras to other logical algebras via the L-edge, L-transitive and loyal L-subsets

Reproduced D-algebra,(reproduced, loyal, L-edge, Ltransitive)L-sub D-algebra,(L-edge and L-transitive) Dalgebra,stabilizer set,straightener set.