In this paper we have discussed the relations between Maximal ideal, Prime ideal and irreducible ideal in an incline R. Mathematics Subject Classification: 16D25, 16Y60

We use hypersurface support to classify thick (two-sided) ideals in the stable categories of representations for several families finite-dimensional integrable Hopf algebras: bosonized quantum complete intersections, Borels type $A$, Drinfeld doubles height 1 finite characteristic, and rings functions on group schemes over a perfect field. then identify prime ideal (Balmer) spectra these catego...

It is well known that the set of all ideals(2) of a ring forms a complete modular lattice with respect to set inclusion. The same is true of the set of all right ideals. Our purpose in this paper is to consider the consequences of imposing certain additional restrictions on these ideal lattices. In particular, we discuss the case in which one or both of these lattices is complemented, and the c...