We give some general results concerning the computation of the generalized Feng-Rao numbers of numerical semigroups. In the case of a numerical semigroup generated by an interval, a formula for the r Feng-Rao number is obtained.

The concept of idempotent elements plays an important role in semigroup theory and semiring theory. In this paper we characterize idempotent pre-generalized hypersubstitutions of type τ = (2, 2).

olds ( α̃, β̃ ) and interval valued fuzzy generalized bi-ideals with thresholds ( α̃, β̃ ) , which are generalization of interval valued fuzzy ideals, interval valued fuzzy interior ideals, interval valued fuzzy quasi ideals and interval valued fuzzy generalized bi-ideals, in a semigroup are introduced, and related properties are investigated. Characterizations of regular semigroups by the properti...

We analyze the convex combinations of noninvertible generalized Pauli dynamical maps. By manipulating mixing parameters, one can produce a channel with shifted singularities, additional or even no singularities whatsoever. In particular, we show how to use maps Markovian semigroup. Interestingly, whose results in semigroup are generated by time-local generators and time-homogeneous memory kerne...

This paper examines actions of right LCM semigroups by endomorphisms C*-algebras that encode an additional structure the semigroup. We define contractive covariant representations for these semigroup dynamical systems and prove a generalized Stinespring's dilation theorem showing can be dilated if only map on C*-algebra is unital completely positive. generalizes earlier results about dilations ...

We study algebraic and topological properties of topological semigroups containing a copy of the bicyclic semigroup C(p, q). We prove that each topological semigroup S with pseudocompact square contains no dense copy of C(p, q). On the other hand, we construct a consistent example of a Tychonov countably compact semigroup containing a copy of C(p, q). In this paper we study the structural prope...

Various augmenting mechanisms have been proposed to enhance the communication e ciency of mesh-connected computers (MCC's). One major approach is to add noncon gurable buses for improved broadcasting. A typical example is the mesh-connected computer with multiple buses (MMB). In this paper, we propose a new class of generalized MMB's, the improved generalized MMB's (IMMB's). Each processor in a...