نتایج جستجو برای: trivial extension
تعداد نتایج: 182986 فیلتر نتایج به سال:
Let $D$ be an integral domain with quotient field $K$, $E$ be a $K$-vector space, $R = D propto E$ be the trivial extension of $D$ by $E$, and $w$ be the so-called $w$-operation. In this paper, we show that $R$ is a $w$-FF ring if and only if $D$ is a $w$-FF domain; and in this case, each $w$-flat $w$-ideal of $R$ is $w$-invertible.
In this paper, by using the concept of spherically symmetric metric, we defne the notion of λ-projectively related metrics as an extension of projectively related metrics. We construct some non-trivial examples of λ-projectively related metrics. Let F and G be two λ-projectively related metrics on a manifold M. We find the relation between the geodesics of F and G and prove that any geodesic of...
The second cohomology group of a left skew brace with coefficients in trivial non-trivial actions is defined, its connection extensions by braces established and Wells' like exact sequence relating the inducible automorphisms an extension constructed.
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