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pro vyhledávání: '"Sydney Bulman-Fleming"'
Autor:
Sohail Nasir, Sydney Bulman-Fleming
Publikováno v:
Communications in Algebra. 39:3631-3645
Flatness properties of acts over monoids and their connection with monoid amalgamation have been investigated for almost four decades and a substantial literature on the subject has now appeared. Analogous research, concerning the action of partially
Autor:
Sydney Bulman-Fleming, Sohail Nasir
Publikováno v:
Semigroup Forum. 80:272-292
Flatness properties of acts over monoids have been studied for almost four decades and a substantial literature is now available on the subject. Analogous research dealing with partially ordered monoids acting on posets was begun in the 1980s in two
Autor:
Sydney Bulman-Fleming, Andrew Gilmour
Publikováno v:
Semigroup Forum. 79:298-314
If S is a monoid, the right S-act S×S, equipped with componentwise S-action, is called the diagonal act of S. The question of when this act is cyclic or finitely generated has been a subject of interest for many years, but so far there has been no e
Autor:
Sydney Bulman-Fleming
Publikováno v:
Semigroup Forum. 78:27-33
If S is a monoid, a right S-act A S is a set A, equipped with a “right S-action” A×S→A sending the pair (a,s)∈ A×S to as, that satisfies the conditions (i) a(st)=(as)t and (ii) a1=a for all a∈A and s,t∈S. If, in addition, S is equipped
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:
Sydney Bulman-Fleming, Mojgan Mahmoudi
Publikováno v:
Semigroup Forum. 71:443-461
In this paper, we consider some category-theoretic properties of the category Pos-S of all S-posets (posets equipped with a compatible right action of a pomonoid S), with monotone action-preserving maps between them. We first discuss some general cat
Autor:
Sydney Bulman-Fleming, Valdis Laan
Publikováno v:
Mathematische Nachrichten. 278:1743-1755
In 1971, inspired by the work of Lazard and Govorov for modules over a ring, Stenstrom proved that the strongly flat right acts AS over a monoid S (that is, the acts that are directed colimits of finitely generated free acts) are those for which the
Publikováno v:
Communications in Algebra. 33:235-251
For a monoid S , a (left) S -act is a nonempty set B together with a mapping S ×B→B sending (s, b) to sb such that S (tb) = lpar;st)b and 1b = b for all S , t ∈ S and B ∈ B. Right S -acts A can also be defined, and a tensor product A ⊗ s B (
Autor:
Sydney Bulman-Fleming
Publikováno v:
Semigroup Forum. 65:428-449
In Comm. Algebra 30(3) (2002), 1475–1498, Bulman-Fleming and Kilp developed various notions of flatness of a right act A S over a monoid S that are based on the extent to which the functor A S ⊗ — preserves equalizers. The present paper discuss
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