In which type of client-server architecture the user interface is stored on the client's side and the database is stored on the server, while database logic and business logic are preserved either on the client's side or on the server's side?

Software architecture is the set of structures needed to reason about a software system and the discipline of creating such structures and systems. In other words, Software Arcitecture describes how software components — subroutines, classes, functions, etc. — are arranged, and the interactions between them.
Some types of software architecture patterns are: Layered (N-tier) architecture. Client-server architecture. Event-driven architecture.