Results 31 to 40 of about 99 (60)
Weak factorization systems and fibrewise regular injectivity for actions of pomonoids on posets [PDF]
, 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 a generalization of I-regularity
Open MathematicsLet SS be a pomonoid. The projectivity and strong flatness of right SS-posets have been central topics in the homological classification of pomonoids in recent decades. In 2005, Shi et al. introduced II-regular SS-posets and proved that all its cyclic SS-
Qiao Husheng, Feng Leting
doaj +1 more source
Order and inverses in the monoid of misère blocking games [PDF]
This paper considers combinatorial games with the last move losing (misère play) instead of winning (normal play). Misère games form a pomonoid in which no non-zero elements are invertible; normal-play games, however, form a group with a much richer ...
Milley, Rebecca, Davies, Alfie
core +1 more source
On Po-injective and Po-surjective Wreath Product of Pomonoids
European Journal of Pure and Applied MathematicsLet $R$ 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 +3 more
openaire +1 more source
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
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 +2 more
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) +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