نتایج جستجو برای: j quasipolar ring
تعداد نتایج: 389203 فیلتر نتایج به سال:
We prove, under some mild conditions, that the equivariant twisted K-theory group of a crossed module admits a ring structure if the twisting 2-cocycle is 2multiplicative. We also give an explicit construction of the transgression map T1 : H ∗(Γ • ;A) → H((N ⋊ Γ) • ;A) for any crossed module N → Γ and prove that any element in the image is ∞-multiplicative. As a consequence, we prove that, unde...
where A(co) stands for the discriminant of the complex lattice generated by 1 and to and g2(u) is the Weierstrass invariant of this lattice. If ti=Q(\/ — D) is an imaginary quadratic number field, it is well known from the theory of class fields with complex multiplication that the "singular values" j(a), where a£û, la >0, generate algebraic number fields which are abelian over fi, namely the s...
Let R be a ring with unity and I(R) be the set of all non-trivial left ideals of R. The intersection graph of ideals of R, denoted by G(R), is a graph with the vertex set I(R) and two distinct vertices I and J are adjacent if and only if I ∩ J 6= 0. In this paper, we study some connections between the graph-theoretic properties of this graph and some algebraic properties of rings. We characteri...
Hara, Takemura and Yoshida [2] discussed toric ideals arising from two way subtable sum problems and showed that these toric ideals are generated by quadratic binomials if and only if the subtables are either diagonal or triangular. In the present paper, we show that if the subtables are either diagonal or triangular, then their toric ideals possess quadratic Gröbner bases. Fix positive integer...
We present numerical calculations concerning the phenomenon of spin-charge separation in low-dimensional strongly correlated electron systems. Specifically, we study the t-J model on a flux-threaded ring connected to semi-infinite free-electron leads. The transmittance through such an Aharonov-Bohm ring shows an interference pattern with characteristic sharp dips at certain flux values, determi...
The main goal of this paper is to study the class countably $\mathcal {A}$-rings (or McCoy rings) introduced by T. Lucas in [The diameter a zero divisor graph, J. Algebra 301, 174-193, 2006] which turns out lie properly between $ \mathcal{A}$-rings and total-$\mathcal{A}$-rings. Also, we introduce investigate module theoretic version {A}$-ring notion, namely {A}$-modules. Our focus shed on beha...
In this paper we construct a q-deformation of the Witt-Burnside ring of a profinite group over a commutative ring, where q ranges over the ring of integers. When q = 1, this coincides with the Witt-Burnside ring introduced by A. To achieve our goal we show that there exists a q-deformation of the necklace ring of a profinite group over a commutative ring. As in the classical case, i.e., the cas...
Let K be a field, R = K[X1, . . . ,Xn] be the polynomial ring and J ( I two monomial ideals in R. In this paper we show that sdepth I/J− depth I/J = sdepth I /J p − depth I /J , where sdepth I/J denotes the Stanley depth and I p denotes the polarization. This solves a conjecture by Herzog [Her13] and reduces the famous Stanley conjecture (for modules of the form I/J) to the squarefree case. As ...
We introduce the concept of j-stretched ideals in a Noetherian local ring. This notion generalizes to arbitrary ideals the classical notion of stretched m-primary ideals of Sally and RossiValla, as well as the concept of ideals of minimal and almost minimal j-multiplicity introduced by Polini-Xie. One of our main theorems states that, for a j-stretched ideal, the associated graded ring is Cohen...
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