نتایج جستجو برای: rings
تعداد نتایج: 48533 فیلتر نتایج به سال:
The aim of the present paper is to characterize associative rings R with unity in which 1+eR(1-e) terms some important class literature (for example, NR-rings, UU-rings, UJ-rings, UR-rings, exchange rings, 2-primal rings), where e2=e∈ and U(R) set units R.
Jewelry comes in a wide variety of shapes and sizes. The purpose of using jewelry, decoration and the beauty of appearance or beliefs enumerate. Men’s rings in Iran are among the ornaments that, in addition to beauty, convey a kind of thought and character. Ring making is one of the original Iranian arts with a long history and varied uses. Ring is sometimes a stamp, a commandment message or on...
let $r$ be a commutative ring with identity. an ideal $i$ of a ring $r$is called an annihilating ideal if there exists $rin rsetminus {0}$ such that $ir=(0)$ and an ideal $i$ of$r$ is called an essential ideal if $i$ has non-zero intersectionwith every other non-zero ideal of $r$. thesum-annihilating essential ideal graph of $r$, denoted by $mathcal{ae}_r$, isa graph whose vertex set is the set...
in this paper the concept of an $omega$- almost boolean ring is introduced and illistrated how a sheaf of algebras can be constructed from an $omega$- almost boolean ring over a locally boolean space.
let $i$ be an ideal in a regular local ring $(r,n)$, we will find bounds on the first and the last betti numbers of $(a,m)=(r/i,n/i)$. if $a$ is an artinian ring of the embedding codimension $h$, $i$ has the initial degree $t$ and $mu(m^t)=1$, we call $a$ a {it $t-$extended stretched local ring}. this class of local rings is a natural generalization of the class of stretched ...
the freiheitssatz of magnus for one-relator groups is one of the cornerstones of combinatorial group theory. in this short note which is mostly expository we discuss the relationship between the freiheitssatz and corre-sponding results in free power series rings over fields. these are related to results of schneerson not readily available in english. this relationship uses a faithful representa...
This study is attempted to compare the number of rings and circular scales that are formed during various ages on Liza saliens. Sampling was carried out monthly during 2012-2013 using beach sine fishing nets. 102 specimens of different sizes were collected and transferred to the laboratory in boxes containing ice. The age of fish was determined by the number of annual rings as well as, the numb...
For an arbitrary ring $R$, the zero-divisor graph of $R$, denoted by $Gamma (R)$, is an undirected simple graph that its vertices are all nonzero zero-divisors of $R$ in which any two vertices $x$ and $y$ are adjacent if and only if either $xy=0$ or $yx=0$. It is well-known that for any commutative ring $R$, $Gamma (R) cong Gamma (T(R))$ where $T(R)$ is the (total) quotient ring of $R$. In this...
Letbe a ring with an endomorphism and an -derivationAntoine studied the structure of the set of nilpotent elements in Armendariz rings and introduced nil-Armendariz rings. In this paper we introduce and investigate the notion of nil--compatible rings. The class of nil--compatible rings are extended through various ring extensions and many classes of nil--compatible rings are constructed. We al...
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