Decomposition of strongly separative monoids

Strongly Homotopy-Commutative Monoids Revisited

We prove that the delooping, i. e., the classifying space, of a grouplike monoid is an H-space if and only if its multiplication is a homotopy homomorphism, extending and clarifying a result of Sugawara. Furthermore it is shown that the Moore loop space functor and the construction of the classifying space induce an adjunction of the according homotopy categories. 2000 Mathematics Subject Class...

Semidirect Products and Wreath Products of Strongly Π-inverse Monoids

In this paper we determine the necessary and sufficient conditions for the semidirect products and the wreath products of two monoids to be strongly π-inverse. Furthermore, we determine the least group congruence on a strongly π-inverse monoid, and we give some important isomorphism theorems.

The atomic decomposition of strongly connected graphs

We define and study a new canonical decomposition of strongly connected graphs that we call the atomic decomposition. We can construct it in linear time from the decomposition in 3-connected components of the considered graph. In a companion article, we use it to characterize, up to homeomorphism, all closed curves in the plane having a given Gauss word.

Separative Ideals of Exchange Rings

M - Strongly Solid Monoids of Generalized Hypersubstitutions of Type Τ = ( 2 )

The purpose of this paper is to characterizeM -strongly solid monoids of generalized hypersubstitutions of type τ = (2) which is the extension of M -solid monoids of hypersubstitutions of the same type.