Quotient Seminear-Rings

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

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...

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

Generalized Quotient Rings

On Classical Quotient Rings of Skew Armendariz Rings

Let R be a ring, α an automorphism, and δ an α-derivation of R. If the classical quotient ring Q of R exists, then R is weak α-skew Armendariz if and only if Q is weak α-skew Armendariz. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly ci...