Results 11 to 20 of about 154 (86)
Unitary posets and amalgamations of pomonoids [PDF]
Semigroup Forum, 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
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On the homological classification of pomonoids: atomic posemilattices [PDF]
Acta et Commentationes Universitatis Tartuensis de Mathematica, 2013 Between dierent and relatively well investigated so-called flatness properties of S-posets there is a property called property (Pw) which, so far, has not received much attention.
Kilp, Mati
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On homological classification of pomonoids by GP-po-flatness of S-posets
Open Mathematics, 2016 In this paper, we introduce GP-po-flatness property of S-posets over a pomonoid S, which lies strictly between principal weak po-flatness and po-torsion freeness.
Liang Xingliang +2 more
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Directed colimits of some flatness properties and purity of epimorphisms in S-posets
Open Mathematics, 2018 Let S be a pomonoid. In this paper, we introduce some new types of epimorphisms with certain purity conditions, and obtain equivalent descriptions of various flatness properties of S-posets, such as strong flatness, Conditions (E), (E′), (P), (Pw), (WP),
Liang Xingliang, Khosravi Roghaieh
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Rees coextensions of finite tomonoids and free pomonoids [PDF]
Semigroup Forum, 2018 A totally ordered monoid, or tomonoid for short, is a monoid endowed with a compatible total order. We reconsider in this paper the problem of describing the one-element Rees coextensions of a finite, negative tomonoid S, that is, those tomonoids that ...
Petrik, Milan, Vetterlein, Thomas
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Characterization of Pomonoids by Properties of I-Regular S-Posets
MathematicsIn 2005, Shi defined I-regular S-posets and used this concept to characterize PP-pomonoids and po-cancellable pomonoids. In this paper, we continued the development of the homological classification of pomonoids by using the I-regularity of S-posets ...
Tingting Zhao
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On the Coextension of Cut-Continuous Pomonoids [PDF]
Order, 2018 A partially ordered monoid, or pomonoid, is a monoid endowed with a compatible partial order, a pomonoid ia called cut-continuous if the product \(\cdot\) is separately cut-continuous, that is, the sets \(\{z : y\cdot z\leq x\}\) and \(\{z : z\cdot y \leq x\}\) are cuts for any \(x, y\in L.\) cut-continuous pomonoids are generalization of residuated ...
Vetterlein, Thomas +2 more
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Data-flow analyses as effects and graded monads [PDF]
, 2020 In static analysis, two frameworks have been studied extensively: monotone data-flow analysis and type-and-effect systems. Whilst both are seen as general analysis frameworks, their relationship has remained unclear.
Ivašković, A, Mycroft, A, Orchard, D
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Dominions, zigzags and epimorphisms for partially ordered semigroups [PDF]
, 2014 We prove an analogue of Isbell's celebrated zigzag theorem for partially ordered semigroups. This theorem provides a useful description of dominions which we employ to describe absolute closedness of posemigroups and epimorphisms in varieties of ...
Sohail, Nasir, Tart, Lauri
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Generalized relations in linguistics and cognition [PDF]
, 2017 Categorical compositional models of natural language exploit grammatical structure to calculate the meaning of sentences from the meanings of individual words. This approach outperforms conventional techniques for some standard NLP tasks.
Alex Toumi +4 more
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