Results 31 to 40 of about 1,200 (220)
Abelization of join spaces of affine transformations of ordered field with proximity
Applied General Topology, 2005 Using groups of affine transformations of linearly ordered fields a certain construction of non-commutative join hypergroups is presented based on the criterion of reproducibility of semi-hypergroups which are determined by ordered semigroups. The aim of
Sárka Hosková
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On commutativity of a semigroup which is a semilattice of commutative semigroups
Journal of Algebra, 1969 Let P,(G) and P,(G) be abstract properties pertaining to commutative semigroups G in the sense of Cohn [3]. P,(G) is said to be weaker than or equal to P,(G) and denoted by P,(G) 3 P,(G) if and only if, for any commutative semigroup S, P,(G) is satisfied by S (i.e., P,(S) is true) whenever P,(G) is satisfied by S.
Yoshida, Reikichi, Yamada, Miyuki
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Conditions for the commutativity of semigroups [PDF]
Proceedings of the American Mathematical Society, 1976 Let S S be a semigroup. Then by a theorem of Tully [7]:
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Constructions of positive commutative semigroups on the plane, II
International Journal of Mathematics and Mathematical Sciences, 1985 A positive semiroup is a topological semigroup containing a subsemigroup N isomorphic to the multiplicative semigroup of nonnegative real numbers, embedded as a closed subset of E2 in such a way that 1 is an identity and 0 is a zero.
Reuben W. Farley
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Superextensions of cyclic semigroups
Karpatsʹkì Matematičnì Publìkacìï, 2013 Given a cyclic semigroup $S$ we study right and left zeros, singleton left ideals, the minimal ideal, left cancelable and right cancelable elements of superextensions $\lambda(S)$ and characterize cyclic semigroups whose superextensions are commutative.
V.M. Gavrylkiv
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On commutation semigroups of dihedral groups [PDF]
Semigroup Forum, 2013 For G a group and g in G, we define mappings pg(G) and lg(G) from G into G by pg(x)=[x,g] and lg(x)=[g,x]. We let P(G) and L(G) denote the subsemigroups of the set of all mappings from G to G generated by {pg: g in G} and {lg: g in G}, respectively. P(G) and L(G) are called the right and left commutation semigroup of G, respectively.
DeWolf, Darien +2 more
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On super hamiltonian semigroups [PDF]
, 2004 summary:The concept of super hamiltonian semigroup is introduced. As a result, the structure theorems obtained by A. Cherubini and A. Varisco on quasi commutative semigroups and quasi hamiltonian semigroups respectively are extended to super hamiltonian ...
Shum, K. P., Ren, X. M.
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On Characterization of Relatively Commutative Semigroups
Communications in Advanced Mathematical SciencesThis paper defines a novel semigroup construction, called a relatively commutative semigroup. A semigroup is called relatively commutative if there exist $k,r,t,s\in \mathbb{Z^{+}}$ and $x,y\in S$ such that $(ab)^{k}=b^{r}ax$ and $(ab)^{t}=yba^{s}$ for ...
Rasie Mekera, Didem Yeşil
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Nonlinear ergodic theorems for asymptotically almost nonexpansive curves in a Hilbert space
Abstract and Applied Analysis, 2000 We introduce the notion of asymptotically almost nonexpansive curves which include almost-orbits of commutative semigroups of asymptotically nonexpansive type mappings and study the asymptotic behavior and prove nonlinear ergodic theorems for such curves.
Gang Li, Jong Kyu Kim
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Commutative Topological Semigroups Embedded into Topological Abelian Groups
Axioms, 2020 In this paper, we give conditions under which a commutative topological semigroup can be embedded algebraically and topologically into a compact topological Abelian group.
Julio César Hernández Arzusa
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