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pro vyhledávání: '"Mati Kilp"'
Autor:
Mati Kilp
Publikováno v:
Semigroup Forum. 91:663-674
In two recent papers by the author for pomonoids, which as monoids are completely simple semigroups with adjoined identity, or semilattices, conditions under which their Rees factor \(S\)-posets satisfy property \((\mathrm{P}_w)\) were found. In this
Autor:
Mati Kilp
Publikováno v:
Acta et Commentationes Universitatis Tartuensis de Mathematica. 17:103-111
Between dierent and relatively well investigated so-called flatness properties of S -posets there is a property called property (P w ) which, so far, has not received much attention. In a recent paper by the author pomonoids from a subclass of comple
Autor:
Mati Kilp
Publikováno v:
Semigroup Forum. 86:592-602
Between different and relatively well investigated so-called flatness properties of S-posets there is a property called property (\({\rm P}_{w}\)) which, so far, has not received much attention. In this paper, we characterize pomonoids from a subclas
Publikováno v:
Communications in Algebra. 34:1291-1317
Let S be a partially ordered monoid, or briefly, pomonoid. A right S-poset (often denoted A S ) is a poset A together with a right S-action (a,s)↝ as that is monotone in both arguments and that satisfies the conditions a(st) = (as)t and a1 = 1 for
Autor:
Ulrich Knauer, Mati Kilp
Publikováno v:
Communications in Algebra. 33:1147-1151
S. Bulman-Fleming (1992) presented necessary and sufficient conditions under which an amalgam of two copies of a monoid by a proper right ideal is flat, weakly flat, or principally weakly flat. In this note, a similar problem is considered for other
Autor:
Mati Kilp, Sydney Bulman-Fleming
Publikováno v:
Communications in Algebra. 30:1475-1498
In 1971, Stenstrom proved that the strongly flat right acts A S over a monoid S (that is, the acts that are directed colimits of finitely generated free acts) are those for which the functor A S ⊗ - (from the category of left S-acts into the catego
Autor:
Mati Kilp, Ulrich Knauer
Publikováno v:
Acta et Commentationes Universitatis Tartuensis de Mathematica. 5:43-57
Most of the usual binary graph operations from disjoint union up to the complete product are interpreted categorically, using the categories Gra, CGra and EGra. This way it is proved that these categories have coproducts, products and tensor products
Autor:
Ulrich Knauer, Mati Kilp
Publikováno v:
Semigroup Forum. 63:396-414
Torsionless acts over a monoid S are investigated, in particular torsionless factor acts of 2 -free and 1 -free acts. Monoids over which free or projective acts are torsionless and vice versa are characterized. Some necessary conditions for torsionle
Publikováno v:
Communications in Algebra. 29:851-878
Publikováno v:
Communications in Algebra. 29:829-850
Let S be a monoid. A right S-act A is pullback flat (= strongly flat) if the functor A ⊗–(from the category of left S-acts to the category of sets) preserves pullbacks. We investigate possible generalizations of this notion, obtained either by re