نتایج جستجو برای: Monoid rings
تعداد نتایج: 51116 فیلتر نتایج به سال:
let $r$ be an associative ring with identity and $z^*(r)$ be its set of non-zero zero divisors. the zero-divisor graph of $r$, denoted by $gamma(r)$, is the graph whose vertices are the non-zero zero-divisors of $r$, and two distinct vertices $r$ and $s$ are adjacent if and only if $rs=0$ or $sr=0$. in this paper, we bring some results about undirected zero-divisor graph of a monoid ring ov...
A skew generalized power series ring R[[S, ω]] consists of all functions from a strictly ordered monoid S to a ring R whose support contains neither infinite descending chains nor infinite antichains, with pointwise addition, and with multiplication given by convolution twisted by an action ω of the monoid S on the ring R. Special cases of the skew generalized power series ring construction are...
Let S be a cancellative monoid with quotient group of torsion-free rank a. We show that the monoid ring R[S] is a Hilbert ring if and only if the polynomial ring R[{ X, },s/] is a Hilbert ring, where |/| = a. Assume that R is a commutative unitary ring and G is an abelian group. The first research problem listed in [K, Chapter 7] is that of determining equivalent conditions in order that the gr...
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