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 …

In this paper, we study the Morita theory for semirings with slu. We characterize the
equivalent functors between the subcategories of right semimodules over semirings with slu …

We prove that in the category of firm acts over a firm semigroup monomorphisms co-incide
with regular monomorphisms and we give an example of a non-injective monomorphism in …

In this paper, we consider from two different perspectives the concept of" Morita
equivalence" in a (non-additive) semiring setting, as well as its application to homological …

A semigroup is called factorizable if each of its elements can be written as a product. We
study equivalences and adjunctions between various categories of acts over a fixed …

Recall that the semigroups S and R are said to be strongly Morita equivalent if there exists a
unitary Morita context (S, R., SPR, RQS,<>,⌈⌉) with<> and⌈⌉ surjective. For a factorisable …

In our earlier work we associated a natural category to a semigroup with local units and
proved semigroup analogues of the celebrated Morita theorems for rings. In this article we …

In order to continue our study of Morita invariants of semigroups, in this paper we enumerate
some of the properties of finitely generated subacts, principal subacts, prime subacts …

We show that the left operator semiring and the right operator semiring of a Nobusawa Γ-
semiring with unities are Morita equivalent. The converse is also deduced, ie, for two Morita …

In this paper we study Morita contexts for semigroups. We prove a Rees matrix cover
connection between strongly Morita equivalent semigroups and investigate how the …