Banaschewski's theorem for S-posets: regular injectivity and completeness

MM Ebrahimi, M Mahmoudi, H Rasouli - Semigroup Forum, 2010 - Springer
In this paper we study the notion of injectivity in the category Pos-S of S-posets for a
pomonoid S. First we see that, although there is no non-trivial injective S-poset with respect …

On injective hulls of -posets

X Zhang, V Laan - Semigroup Forum, 2015 - Springer
On injective hulls of $$S$$ -posets | SpringerLink Skip to main content Advertisement
SpringerLink Log in Menu Find a journal Publish with us Search Cart 1.Home 2.Semigroup …

On flatness properties of cyclic S-posets.

X Shi - Semigroup Forum, 2008 - search.ebscohost.com
On flatness properties of cyclic S-posets Page 1 Semigroup Forum (2008) 77: 248–266 DOI
10.1007/s00233-007-9012-x RESEARCH ARTICLE On flatness properties of cyclic S-posets …

Perfection for pomonoids

V Gould, L Shaheen - Semigroup Forum, 2010 - Springer
A pomonoid S is a monoid equipped with a partial order that is compatible with the binary
operation. In the same way that M-acts over a monoid M correspond to the representation of …

Injectivity of -posets with respect to down closed regular monomorphisms

L Shahbaz, M Mahmoudi - Semigroup Forum, 2015 - Springer
No need to say that the study of injectivity with respect to different classes of
monomorphisms is crucial in any category. In this paper, the notion of injectivity with respect …

[图书][B] Linear algebra over semirings

D Wilding - 2015 - search.proquest.com
Motivated by results of linear algebra over fields, rings and tropical semirings, we present a
systematic way to understand the behaviour of matrices with entries in an arbitrary semiring …

Categorical properties of regular monomorphisms of -posets

H Rasouli - European Journal of Pure and Applied Mathematics, 2014 - ejpam.com
Recall that monomorphisms in some categories such as the category of posets, and the
category of topological spaces, are not necessarily embeddings. The notion of regular …

When all S-posets are principally weakly flat

H Qiao, F Li - Semigroup Forum, 2007 - Springer
In this paper, we investigate the characterizations of pomonoids over which all S-posets are
principally weakly flat. It is shown that all S-posets are principally weakly flat if and only if S is …

On homological classification of pomonoids by regular weak injectivity properties of S-posets

X Zhang, V Laan - Central European Journal of Mathematics, 2007 - Springer
If S is a partially ordered monoid then a right S-poset is a poset A on which S acts from the
right in such a way that the action is compatible both with the order of S and A. By regular …

The flatness properties of S-poset A(I) and Rees factor S-posets

H Qiao, F Li - Semigroup Forum, 2008 - Springer
Let S be a pomonoid and I a proper right ideal of S. In a previous paper, using the
amalgamated coproduct A (I) of two copies of SS over I, we were able to solve one of the …