Results 131 to 140 of about 410 (158)

Connectivity, indecomposable, and weakly reversible in S-posets

Asian-European Journal of Mathematics, 2020
Over the past four decades an extensive literature covered the properties of [Formula: see text]-acts. However, only few studies had generalized some known properties of [Formula: see text]-acts to the [Formula: see text]-posets. The reversible, and indecomposable properties in [Formula: see text]-posets have been addressed previously but connectivity
openaire   +2 more sources

Injectivity of $$S$$ S -posets with respect to down closed regular monomorphisms

Semigroup Forum, 2015
Let \(S\) be a pomonoid. An embedding \(f\colon A\to B\) of \(S\)-pomonoids is called \textit{down closed} if \(f(A)\) is a down closed \(S\)-poset of \(B\). An \(S\)-poset \(A\) is called \textit{down closed regular injective} or \textit{dc-injective} if it is injective with respect to down closed embeddings. \(A\) is called \textit{poideal injective}
Shahbaz, Leila, Mahmoudi, Mojgan
openaire   +1 more source

Rees short exact sequences of \(S\)-posets

2017
Summary: In this paper the notion of Rees short exact sequence for \(S\)-posets is introduced, and we investigate the conditions for which these sequences are left or right split. Unlike the case for \(S\)-acts, being right split does not imply left split.
openaire   +1 more source

On the homological classification of pomonoids by properties of cyclic S-posets

Semigroup Forum, 2013
Between different so-called flatness properties of \(S\)-posets there is a property \((P_w)\) that is studied here. The author characterizes pomonoids from a subclass of completely simple semigroups with adjoined identity, all of whose cyclic (Rees factor) \(S\)-posets satisfy \((P_w)\).
openaire   +2 more sources

Lazard's Theorem forS‐posets

Mathematische Nachrichten, 2005
AbstractIn 1971, inspired by the work of Lazard and Govorov for modules over a ring, Stenström proved that the strongly flat right actsASover a monoidS(that is, the acts that are directed colimits of finitely generated free acts) are those for which the functorAS⊗ (from the category of leftS‐acts into the category of sets) preserves pullbacks and ...
Bulman-Fleming, Sydney, Laan, Valdis
openaire   +2 more sources

The index of Lie poset algebras

Journal of Combinatorial Theory - Series A, 2021
Nicholas Mayers, Vincent Coll
exaly  

A Note on Injective Hulls of S-Poset

Pure Mathematics, 2021
openaire   +1 more source

Poset product and BL-algebras

Fuzzy Sets and Systems, 2020
Manuela Busaniche
exaly  

Groups of linear isometries on poset structures

Discrete Mathematics, 2008
Marcelo Firer, Luciano Pánek, Jong Yoon Hyun   +2 more
exaly  

Δ1-completions of a Poset

Order, 2011
Alessandra Palmigiano, Ramon Jansana, Mai Gehrke   +2 more
exaly