Homomorphic images of restrictive star semigroups

Homomorphic Retractions in Semigroups

Partial Homomorphic Images of Brandt Grotjpoids1

The main purpose of the present note is to show (Theorem 2) that any regular ©-class of any semigroup is a partial homomorphic image of a Brandt groupoid. It follows from this that a semigroup with zero is a partial homomorphic image of a Brandt semigroup if and only if it is regular and O-bisimple. In the first section, an alternative formulation is given of the determination by H.-J. Hoehnke ...

Homomorphic Images of Polynomial Near-rings

A polynomial near-ring can mean one of several things. Here a polynomial near-ring is a near-ring of polynomials with the coefficients from a near-ring in the sense of van der Walt and Bagley. We describe quotients of such polynomial near-rings by principal ideals leading to generalizations of some well-known ring constructions. MSC 2000: 16Y30

HOMOMORPHIC IMAGES OF a-COMPLETE BOOLEAN ALGEBRAS

It is a well-known theorem of R. S. Pierce that, for every infinite cardinal a, a 0 = a if and only if there is a complete Boolean algebra B s.t. card B = a (see [3, Theorem 25.4]). Recently, Comfort and Hager proved [l] that, for every infinite a-complete Boolean algebra B, (card B) 0 _ card B. We extend this result to the class of homomorphic images of cr-complete algebras, following closely ...

A Homomorphic Method for Sharing Secret Images

In this paper, we present a new method for sharing images between two parties exploiting homomorphic property of public key cryptosystem. With our method, we show that it is possible to multiply two encrypted images, to decrypt the resulted image and after to extract and reconstruct one of the two original images if the second original image is available. Indeed, extraction and reconstruction o...