Results 31 to 40 of about 96 (61)

Unitary posets and amalgamations of pomonoids

, 2014
In 1927, Schreier proved that amalgams of groups are always embeddable in the category of groups. However, this is not true in the category of semigroups, as shown by Kimura.
Al Subaiei, Bana
core  

Weak factorization systems and fibrewise regular injectivity for actions of pomonoids on posets

, 2017
Let S be a pomonoid. In this paper, Pos-S, the category of S-posets and S-poset maps, is considered. One of the main aims of this paper is to draw attention to the notion of weak factorization systems in Pos-S.
Madanshekaf, A., Farsad, F.
core   +1 more source

On Po-injective and Po-surjective Wreath Product of Pomonoids

European Journal of Pure and Applied Mathematics
Let $R$  and $S$ be pomonoids and $_{R}{A}$ be a left $R$-poset. The wreath product of the pomonoids $R$  and $S$ by $_{R}{A}$  is defined as the pomonoid $T~=~R \times F(A, S)$ While, the wreath product $_TC$ of the left $R$-poset $_{R}{A}$ with the left $S$-poset $_{S}{B}$ over the pomonoid $T= R \times F(A, S)$ is the left $T$-poset ${_T C}= {_R A ...
Bana Al Subaiei, Ahlam Almulhim, Aftab Shah, Syed Ul Haq   +3 more
openaire   +1 more source

Flatness Properties of S-posets

, 2004
Let S be a partially ordered monoid, or briefly, pomonoid. A right S-poset (often denoted AS) is a poset A together with a right S-action (a; s) as that is monotone in both arguments and that satisfies the conditions a(st) = (as)t and a1 = 1 for all a 2
Andrew Gilmour, Mati Kilp, Sydney Bulman-Fleming, Denise Gutermuth   +2 more
core  

Equivariant completeness and regular injectivity of S-posets

, 2016
In this paper, considering the actions of a pomonoid S on posets, namely S-posets, we study some relations between equivariant completeness and regular injectivity of S-posets which lead to some homological classication results for pomonoids.
Rasouli, H
core  

AXIOMATISABILITY PROBLEMS FOR S-POSETS

, 2009
Let C be a class of ordered algebras of a given fixed type τ. Associated with the type is a first order language Lτ, which must also contain a binary predicate to be interpreted by the ordering in members of C.
Victoria Gould, Lubna Shaheen
core  

Characterizarion of pomonoids by weakly pullback flat S-posets(弱拉回平坦序S-系对序幺半群的刻画)

Zhejiang Daxue xuebao. Lixue ban, 2019
设S 是序幺半群，借助环模理论以及半群S-系理论方法，在序S-系范畴中研究了弱拉回平坦性质。刻画了弱拉回平坦序S-系关于直积封闭的序幺半群类以及弱拉回平坦性质与其他性质一致的序幺半群类，讨论了循环序S-系具有拉回平坦覆盖的条件，进而推广了S-系的一些重要结果。
LIANGXingliang(梁星亮), LONGBin(龙斌), XUPanpan(徐盼盼)   +2 more
openaire   +1 more source

On unitary down-closed regular monomorphisms of pomonoid actions

Quaestiones Mathematicae, 2018
In this paper we characterize injective objects in the category of S-posets and S-poset maps for a pomonoid S, with respect to the class of unitary down- closed embeddings. Also, the behaviour of this notion of injectivity with respect to products and coproducts is studied.
Ali Madanshekaf
exaly   +5 more sources

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Perfection for pomonoids

Semigroup Forum, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Victoria Gould, Gould Victoria
exaly   +3 more sources