Results 81 to 90 of about 276 (101)
Examples concerning absolute flatness and amalgamation in pomonoids
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Sydney Bulman‐Fleming, Sohail Nasir
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On classification of pomonoids by properties of generators
In this paper, we attempt to collect the knowledge on generators in the category Pos-[Formula: see text] and to apply this to proceed on the questions of homological classification of ordered monoids, that is results of the type: all generators in the category Pos-[Formula: see text], have a flatness property if and only if [Formula: see text] has a ...
Setareh Irannezhad, Ali Madanshekaf
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Equivariant completeness and regular injectivity of S-posets
Semigroup Forum, 2015In order to follow the contents of this paper one has to know in detail the concepts and results published by \textit{S. Bulman-Fleming}, \textit{D. Gutermuth}, \textit{A. Gilmour} and \textit{M. Kilp} [Commun. Algebra 34, No. 4, 1291--1317 (2006; Zbl 1095.20046)]. In the paper under review, several new concepts for partially ordered (p.o.) monoids are
H. Rasouli
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On the homological classification of pomonoids by properties of cyclic S-posets
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 \((P_w)\).
Mati Kilp
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Homomorphisms of Abelian pomonoids induced by a class of BCI-homomorphisms
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S. W. Kuresh, John N. Mordeson
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On automorphisms of monotone transformation posemigroups
, 2021In this paper, we provide a simple generalization of results of Sullivan for [Formula: see text] the full transformation monotone pomonoid and for [Formula: see text] the partial transformation monotone pomonoid by showing that every automorphism of ...
Dilawar J. Mir, A. Shah, S. Ahanger
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Down closed injectivity and essentialness
, 2020Injectivity is one of the useful notions in algebra, as well as in many other branches of mathematics, and the study of injectivity with respect to different classes of monomorphisms is crucial in many categories.
L. Shahbaz, M. Mahmoudi
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Communications in Algebra
In 1971, inspired by the work of Lazard and Govorov for R-modules over a ring R, B. Stenström proved that an S-act over a monoid S is isomorphic to a directed colimit of finitely generated free S-acts if and only if it is both pullback flat and equalizer
Xingliang Liang, Yun Dang, Boyan Wei
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In 1971, inspired by the work of Lazard and Govorov for R-modules over a ring R, B. Stenström proved that an S-act over a monoid S is isomorphic to a directed colimit of finitely generated free S-acts if and only if it is both pullback flat and equalizer
Xingliang Liang, Yun Dang, Boyan Wei
semanticscholar +1 more source

