Finitely Presented Modules over Right Non-Singular Rings

Actually, every ring can be viewed as a module over itself generated by one element, and ideals and submodules coincide; therefore it is a more general point of view if we consider

Section 2 is devoted to prelimi- naries on hyperbolic geometry, we prove our equidistribution results in section 3, theorem 1.3 and proposition 1.5 in section 4, geometrically

Similarly, a module is Noetherian if each ascending chain of finitely generated submodules iterates.. These definitions together with coherence are strong enough to

— There is no exchange ring (thus, no von Neumann regular ring and no C*-algebra of real rank zero) with finite stable rank whose semilattice of finitely generated,

Our characterization is formulated in terms of the so-called prime elements of our monoid, and it says, for a given primely generated, antisymmetric refinement monoid M (we

semihereditary ring, finitely presented module, stacked bases property, UCS-property, local-global

According to Theorem 2.6 [11], the loop L satises the condition of max- imality for subloops and, thus, the total number of prime numbers p for which L contains a p -cyclical group

The next statement is the main result of the present paper and it is also the main step in our proof that all finitely presented groups are QSF. Here are some COMMENTS concerning