Results 21 to 30 of about 96 (61)
ON COMMUTATIVE RESIDUAL POMONOIDS
Demonstratio Mathematica, 1998 Summary: We prove the following results: Commutative residual pomonoids with the identity as a maximal element are categorically equivalent to BCI-algebras with condition (S); commutative residual pomonoids with the identity as the greatest element, commutative implicative semigroups, and BCK-algebras with condition (S) are categorically equivalent to ...
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REGULAR INJECTIVITY AND EXPONENTIABILITY IN THE SLICE CATEGORIES OF ACTIONS OF POMONOIDS ON POSETS [PDF]
Journal of the Korean Mathematical Society, 2015 Abstract. For a pomonoid S, let us denote Pos-S the category ofS-posets and S-poset maps. In this paper, we consider the slice cate-gory Pos-S/B for an S-poset B,and study some categorical ingredients.We first show that there is no non-trivial injective object in Pos-S/B.Then we investigate injective objects with respect to the class of regu-lar ...
Farideh Farsad, Ali Madanshekaf
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Characterization of Pomonoids by Properties of Generators
, 2015 The study of flatness properties of ordered monoids acting on posets was initiated by S.M. Fakhruddin in the 1980's. Although there exist many papers which investigate various properties of $S$-posets (posets equipped with a compatible right action of an ordered monoid $S$) from free to torsion free, among them generators, there seems to be known very ...
Irannezhad, Setareh, Madanshekaf, Ali
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Pomonoid: A companion to "The radical-annihilator monoid of a ring"
, 2016 <p>This is the state of the code as of the time I have submitted the article "The radical-annihlator monoid of a ring" to Communications in Algebra.</p ...
Ryan C. Schwiebert (5287123) +1 more
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Varieties of Commutative Residuated Integral Pomonoids and Their Residuation Subreducts
Journal of Algebra, 1997 Let \(\langle A;\oplus ,0,\leq \rangle\) be a commutative (dually) integral partially ordered monoid whose identity \(0\) is the least element of \(\langle A,\leq \rangle\), where \(\leq\) is a partial order compatible with the monoid operation \(\oplus\) in the sense that \(a\oplus b\leq c\oplus d\) whenever \(a\leq c\) and \(b\leq d\).
Blok, Willem J., Raftery, James G.
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On the homological classification of pomonoids: atomic posemilattices
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. In a recent paper by the author pomonoids from a subclass of completely simple semigroups with adjoined identity, all of whose cyclic (Rees factor) S-posets satisfy property (
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On homological classification of pomonoids by regular weak injectivity properties of S-posets
Open Mathematics, 2007 Abstract If S is a partially ordered monoid then a right S-poset is a poset A on which S acts from the right in such a way that the action is compatible both with the order of S and A. By regular weak injectivity properties we mean injectivity properties with respect to all regular monomorphisms (not all monomorphisms) from different ...
Zhang Xia, Laan Valdis
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Absolute flatness and amalgams in pomonoids
Semigroup Forum, 1986 We define a tensor product for partially ordered sets acted on by a partially ordered monoid and study the related property of absolute flatness. As a by-product we show that a partially ordered commutative group is a strong amalgamation base in the category of partially ordered commutative monoids. This result originally due to Schreier in the case of
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From partially ordered monoids to partially ordered groups via free nuclear preimages
, 2023 Two fundamental constructions operating on residuated lattices and partially ordered monoids (pomonoids) are so-called nuclear images and conuclear images.
Přenosil, Adam
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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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