The aim of this paper is to characterize subdirectly irreducible S-acts over left zero
semigroups. Also we compute the number of such acts and specify cogenerators acts over …

In this paper, we explore the concept of topologically dense injectivity of monoid acts. It is
shown that topologically dense injective acts constitute a class strictly larger than the class of …

Some of the so called smallness conditions in algebra as well as in category theory, are
important and interesting for their own and also tightly related to injectivity, are essential …

In this paper, some Baer type criteria are considered for locally presentable categories.
Recalling the notion of the classical Baer criterion for injectivity, it is shown that a locally …

The class \mathcalM_d of sequentially dense monomorphisms were first defined and
studied by Giuli, Ebrahimi, and Mahmoudi for projection algebras (acts over the monoid …

摘要在本文中, 介绍并研究了在类半体上的内射动作的新泛化, 即局部内射. 使用示例,
我们证明了这种概括是正确的. 提供了局部注射动作的各种表征. 例如, 我们表明 …

For a class ℳ of monomorphisms of a category, mathematicians consider different types of
essentiality, depending on ℳ. In this paper, considering the category of acts over a …

Let $\mathcal M $ be a class of (mono) morphisms in a category $\mathcal A $. To study
mathematical notions, such as injectivity, tensor products, flatness, one needs to have some …

Let M be a class of (mono) morphisms in a category A. To study mathematical notions, such
as injectivity, tensor products and flatness, one needs to have some categorical and …

Injectivity with respect to pure monomorphisms was studied before in categories of modules
and categories of acts. In this paper we study this notion with respect to sequentially pure …