We prove that two semigroups with local units are Morita equivalent if and only if they have a
joint enlargement. This approach to Morita theory provides a natural framework for …

We define firm semigroups and firm acts as non-additive analogues of firm rings and firm
modules. Using the categories of firm acts we develop Morita theory for firm semigroups. We …

Comonads and Galois Corings Page 1 Appl Categor Struct (2006) 14:579–598 DOI 10.1007/s10485-006-9049-0
Comonads and Galois Corings J. Gómez-Torrecillas Received: 7 March 2006 / Accepted …

We construct comatrix corings on bimodules without finiteness conditions by using firm rings.
This leads to the formulion of a notion of Galois coring which plays a key role in the …

By a theorem due to Kato and Ohtake, any (not necessarily strict) Morita context induces an
equivalence between appropriate subcategories of the module categories of the two rings in …

In this paper we develop a Morita theory for associative rings without identity using the
categories CMod-R of modules M such that M≃ Hom (R, M) and DMod-R of modules M such …

Two semigroups are called Morita equivalent if the categories of firm right acts over them are
equivalent. We prove that every semigroup is Morita equivalent to its subsemigroup …

We study properties of the lattice of unitary ideals of a semigroup. In particular, we show that
it is a quantale. We prove that if two semigroups are connected by an acceptable Morita …

In this paper we characterize the largest exchange ideal of a ring R as the set of those
elements x∈ R such that the local ring of R at x is an exchange ring. We use this result to …

In this paper, we prove that left nonsingularity and left nonsingularity plus finite left local
Goldie dimension are two Morita invariant properties for idempotent rings without total left or …