The standard combinatorial approximation C(R n, X) to Qn~nx is a filtered space with easily understood filtration quotients Di Rn, X). Stably, C( Rn, X) splits as the wedge of the Di Rn, X). We here analyze the multiplicative properties of the James maps which give rise to the splitting and of various related combinatorially derived maps between iterated loop spaces. The target of the total Jam...

We study injective homomorphisms between big mapping class groups of infinite-type surfaces. First, we construct (uncountably many) examples surfaces without boundary whose (pure) are not co-Hopfian; these first such endomorphisms that fail to be surjective. then prove that, subject some topological conditions on the domain surface, any continuous homomorphism (arbitrary) sends Dehn twists is i...

Abstract. Let L and M be two finite lattices. The ideal J(L,M) is a monomial ideal in a specific polynomial ring and whose minimal monomial generators correspond to lattice homomorphisms ϕ: L→M. This ideal is called the ideal of lattice homomorphism. In this paper, we study J(L,M) in the case that L is the product of two lattices L_1 and L_2 and M is the chain [2]. We first characterize the set...

there are several kinds of hyperrings, for example, krasnerhyperrings, multiplicative hyperring, general hyperrings and$h_v$-rings. in a multiplicative hyperring, the multiplication isa hyperoperation, while the addition is a binary operation. in this paper, the notion of derivation on multiplicative hyperrings is introduced and some related properties are investigated. {bf keywords:} multiplic...

The asymptotic spectrum of graphs, introduced by Zuiddam (Combinatorica, 2019), is the space graph parameters that are additive under disjoint union, multiplicative strong product, normalized and monotone homomorphisms between complements. He used it to obtain a dual characterization Shannon capacity graphs as minimum evaluation function over noted several known upper bounds, including Lovász n...

1. Professor G. Whaples has kindly drawn my attention to the very similar properties enjoyed by the series which I called the Witt hyperexponential in a recent paper [2], and a series which he had previously defined, using the Artin-Hasse exponential series [5]; the main fact is that both series define a homomorphism of the Witt group W onto the multiplicative group W*. In answer to his questio...

In this paper, properties of ideal I semiprime ring R with multiplicative generalized (α,β)- reverse derivation determined not necessarily additive map d is studied. We previous studies for different derivations to F. show that [β(p),d(p)]I=0 all p∈I or [d(p)],α(p)]I=0 under the given conditions. Also, we give relationship between and anti-automorphism α automorphism β R. Under conditions, exam...

Let M denote the space of Borel probability measures on R. For every t ≥ 0 we consider the transformation Bt : M → M defined by Bt(μ) = ( μ )⊎(1/(1+t)) , μ ∈ M, where ⊞ and ⊎ are the operations of free additive convolution and respectively of Boolean convolution on M, and where the convolution powers with respect to ⊞ and ⊎ are defined in the natural way. We show that Bs ◦ Bt = Bs+t, ∀ s, t ≥ 0...

Clones of continuous maps of topological spaces and clones of homomorphisms of universal algebras are investigated and their initial segments compared. We show, for instance, that for every triple 2 ≤ n1 ≤ n2 ≤ n3 of integers there exist algebras A1 and A2 with two unary operations such that the initial k-segments of their clones of homomorphisms are equal exactly when k ≤ n1, isomorphic exactl...