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A ring satisfies the left Beachy-Blair condition if each of its faithful left ideal is cofaithful. Every left zip ring satisfies the left Beachy-Blair condition, but both properties are not equivalent...
Let ${\scr R}$ and $\scr S$ be arbitrary associative rings. A mapping $\varphi$ of ${\scr R}$ onto $\scr S$ is called a multiplicative isomorphism if $\varphi$ is bijective and satisfies $ \varphi(xy)...
On q-Euclidean L-Fuzzy Ideals of Rings
Ideal Fuzzy ideal Level subset q -Euclidean level ideal q -Euclidean L-fuzzy ideal
2010/2/26
In this paper we define a q-Euclidean level subset and a q-Euclidean level ideal. We also give some properties of a q-Euclidean level subset.
Cyclic homology of commutative algebras over general ground rings
Cyclic homology commutative algebras general ground rings
2010/11/1
We consider commutative algebras and chain DG algebras over a fixed commutative ground ring $k$ as in the title. We are concerned with the problem of computing the cyclic (and Hochschild) homology of...