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A representation theorem for Chain rings

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Alkhamees Y., Alolayan H., Singh S.

Colloquium Mathematicum

2003

tom 96

nr 1

103-119

A ring A is called a chain ring if it is a local, both sided artinian, principal ideal ring. Let R be a commutative chain ring. Let A be a faithful R-algebra which is a chain ring such that Ā = A/J(A) is a separable field extension of R̅ = R/J(R). It follows from a recent result by Alkhamees and Singh that A has a commutative R-subalgebra R₀ which is a chain ring such that A = R₀ + J(A) and R₀ ∩ J(A) = J(R₀) = J(R)R₀. The structure of A in terms of a skew polynomial ring over R₀ is determined.

Ograniczanie wyników

1 Colloquium Mathematicum

1 Alkhamees Y.

1 Alolayan H.

1 Singh S.

1 2003

Wyniki wyszukiwania

A representation theorem for Chain rings