Inversion of Monic Polynomials and Existence of Unimodular Elements.
Invertibility of Bass-Connell-Wright polynomial maps.
Invertible ideals and Gaussian semirings
In the first section, we introduce the notions of fractional and invertible ideals of semirings and characterize invertible ideals of a semidomain. In section two, we define Prüfer semirings and characterize them in terms of valuation semirings. In this section, we also characterize Prüfer semirings in terms of some identities over its ideals such as for all ideals , of . In the third section, we give a semiring version for the Gilmer-Tsang Theorem, which states that for a suitable family...
Invertible ideals in real holomorphy rings.
Invertible prime ideals and partial fractions.
Irreducibility of ideals in a one-dimensional analytically irreducible ring
Let be a one-dimensional analytically irreducible ring and let be an integral ideal of . We study the relation between the irreducibility of the ideal in and the irreducibility of the corresponding semigroup ideal . It turns out that if is irreducible, then is irreducible, but the converse does not hold in general. We collect some known results taken from [5], [4], [3] to obtain this result, which is new. We finally give an algorithm to compute the components of an irredundant decomposition...
Irreducible identity sets for polynomial autormorphisms.
Irreducible Jacobian derivations in positive characteristic
We prove that an irreducible polynomial derivation in positive characteristic is a Jacobian derivation if and only if there exists an (n-1)-element p-basis of its ring of constants. In the case of two variables we characterize these derivations in terms of their divergence and some nontrivial constants.
Irreducible linear group-subgroup pairs with the same invariants.
Isolated points and redundancy
We describe the isolated points of an arbitrary topological space . If the -specialization pre-order on has enough maximal elements, then a point is an isolated point in if and only if is both an isolated point in the subspaces of -kerneled points of and in the -closure of (a special case of this result is proved in Mehrvarz A.A., Samei K., On commutative Gelfand rings, J. Sci. Islam. Repub. Iran 10 (1999), no. 3, 193–196). This result is applied to an arbitrary subspace of the prime...
Isomorphic Chevalley groups over integral domains
Isomorphic cohomology Yields isomorphic homology.
Isomorphims between complexes with applications to the homological theory of modules.
Isomorphism of Endomorphism Algebras over Complete Discrete Valuation Rings.
Iterations and logarithms of formal automorphisms.
Iterations and logarithms of formal automorphisms. (Short Communication).
Iterative differentiations in rings of unequal characteristic
Sia un anello di caratteristica diseguale. Si stabiliscono formule generali per gli endomorfismi di una differenziazione o -iterativa di , con non zerodivisore di R. Tali formule sono note nel caso della caratteristica eguale.
Jacobian criteria for complete intersections. The graded case.
Jacobian matrix and p-basis
Japanische und ausgezeichnete lokale Ringe.