The domain structure in the existing QSM (quotient space model) is usually a topology

and a granule is uniquely determined by an equivalence relation.However

when the domain structure is assumed as a widely used algebra instead of a topology

it introduces the concept of congruence relation

and systematically demonstrates the existence of two basic conclusions in QSM based on algebraic structureall the congruence relations forming a complete semi-order lattice and the principles of falsity preserving and truth preserving.And when the equivalence relation determining a granule is not a congruence relation

it defines the concepts of least upper (greatest lower) congruence and least upper (greatest lower) quotient in antithesis

proves their existence for simplicity

and discusses some of their important properties which are the theoretical basis for the composition and decomposition of different granularities.Finally

based on the routing algorithm transmitting as error correcting codes

it analyzes the application of QSM based on algebraic structure during network secure transmission.The paper extends the theory of QSM from structure

and provides theoretical basis for the combination of quotient space theory and algebraic theory.