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The group of order preserving automorphisms of the ring of differential operators on Laurent polynomial algebra in prime characteristic
V. V. Bavula
Let be a field of characteristic . It is proved that the group $\Aut_{ord}(\CD (L_n))$ of order preserving automorphisms of the ring $\CD (L_n)$ of differential operators…
The Jacobian algebras
V. V. Bavula
The Jacobian algebras are introduced and their various properties are studied.
Derivations and skew derivations of the Grassmann algebras
V. V. Bavula
Surprisingly, skew derivations rather than ordinary derivations are more basic (important) object in study of the Grassmann algebras. Let be t…
Primary Decompositions for Left Noetherian Rings
V. V. Bavula
Two constructions are given that describe respectively all shortest primary decompositions and all shortest uniform decompositions for left Noetherian rings. They show that these d…
Factorization of monomorphisms of a polynomial algebra in one variable
V. V. Bavula
Let be a polynomial algebra in a variable over a commutative $\Q$-algebra , and $\G'$ be the monoid of -algebra monomorphisms of of the type $\s : x\mapsto…
The Carlitz Algebras
V. V. Bavula
The Carlitz -algebra , , is generated by an algebraically closed field $\CK $ (which contains a non-discrete locally compact field of positive…