Results 1 to 10 of about 30 (30)
On categorical aspects of S -quantales
Open Mathematics, 2018 S-quantales are characterized as injective objects in the category of S-posets with respect to certain class of homomorphisms that are order-preserving mappings. This paper is devoted to exhibitions of categorical structures on S-quantales.
Zhang Xia, Zhou Yunyan
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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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Some array polynomials over special monoid presentations
, 2013 In a recent joint paper (Cevik et al. in Hacet. J. Math. Stat., acceptted), the authors have investigated the p-Cockcroft property (or, equivalently, efficiency) for a presentation, say , of the semi-direct product of a free abelian monoid rank two by a ...
Das, Kinkar Chandra +2 more
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Analysis approach to finite monoids
, 2013 In a previous paper by the authors, a new approach between algebra and analysis has been recently developed. In detail, it has been generally described how one can express some algebraic properties in terms of special generating functions.
Cevik, A. Sinan +2 more
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Two-sided homological properties of special and one-relator monoids
Forum of Mathematics, SigmaA monoid presentation is called special if the right-hand side of each defining relation is equal to 1. We prove results which relate the two-sided homological finiteness properties of a monoid defined by a special presentation with those of its group of
Robert D. Gray, Benjamin Steinberg
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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
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On The Category of Completely Regular Semigroups
, 2018 In this paper class of completely regular semigroups is considered. It is well known that the category ℒ(S) of left ideals of regular semigroups form a normal category and the semigroup of normal cones in this category is a regular semigroup.
Michael, Siji, Romeo, P G
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Quasi injectivity and θ-internal order sum in partially ordered acts
, 2019 Injectivity (weakly injectivity) of objects is an important concept which category theory inherited from homological and commutative algebra. One of the useful kinds of weakly injectivity is quasi injectivity. In this paper, we study the relation between
Yavari, Mahdieh
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On Unitary down-closed regular monomorphisms of pomonoid actions
, 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.
Farsad, Farideh, Madanshekaf, Ali
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