QUOTIENT SEMINEAR-RINGS OF THE ENDOMORPHISM OF SEMINEAR-RINGS

Endomorphism seminear-rings of Brandt semigroups

We consider the endomorphisms of a Brandt semigroup Bn, and the semigroup of mappings E(Bn) that they generate under pointwise composition. We describe all the elements of this semigroup, determine Green’s relations, consider certain special types of mapping which we can enumerate for each n, and give complete calculations for the size of E(Bn) for small n. AMS 2000 Mathematics subject classifi...

Left Bipotent Seminear-Rings

In this paper, we introduce the concept of left bipotent seminearrings. We prove certain properties of left bipotent seminear-rings and obtain equivalent conditions for a seminear-ring to be a left bipotent seminear-ring. Mathematics Subject Classification: 16Y60

A Note on Radicals of Seminear-rings

We generalize a few results of [2, 6, 8] for radical classes of rings for radical classes of seminear-rings by using the construction for radical classes of seminear-rings. AMS Mathematics Subject Classification (2000): 16Y60, 16W50

Survey of Attention Seminear

Endomorphism Rings of Modules over Prime Rings

Endomorphism rings of modules appear as the center of a ring, as the fix ring of a ring with group action or as the subring of constants of a derivation. This note discusses the question whether certain ∗-prime modules have a prime endomorphism ring. Several conditions are presented that guarantee the primeness of the endomorphism ring. The contours of a possible example of a ∗-prime module who...