Results 101 to 110 of about 8,427,358 (293)
On 2-absorbing ideals of commutative rings
Suppose that R is a commutative ring with 1 ≠ 0. In this paper, we introduce the concept of 2-absorbing ideal which is a generalisation of prime ideal. A nonzero proper ideal I of R is called a 2-absorbing ideal of R if whenever a, b, c ∈ R and abc ∈ I ...
Ayman Badawi
semanticscholar +1 more source
Some strange behaviors of the power series ring R[[X]]
Let R be a commutative ring with identity. Let R[X] and R[[X]] be the polynomial ring and the power series ring respectively over R. Being the completion of R[X] (under the X-adic topology), R[[X]] does not always share the same property with R[X].
Phan Thanh Toan
doaj +1 more source
Hyperholomorphic functions on commutative algebras [PDF]
In this paper we study properties of hyperholomorphic functions on commutative finite algebras. It is investigated the Cauchy-Riemann type conditions for hyperholomorphic functions. We prove that a hyperholomorphic function on a commutative finite algebra can be expanded in a Taylor series. We also present a technique for computing zeros of polynomials
arxiv
Abstract With the enormous growth in the capacity of electrical equipment, power semi‐conductor devices are developing rapidly towards larger size and higher capacity. To suppress the thermal resistance and achieve efficient heat dissipation, the authors focus on developing a low‐temperature sintering technique for wafer‐level high‐power semi‐conductor
Chen Yang+13 more
wiley +1 more source
Let X be a nonempty set, A be a commutative Banach algebra, and 1 ...
Shirin Tavkoli+2 more
doaj +1 more source
Uniformly 2-absorbing primary ideals of commutative rings [PDF]
In this study, we introduce the concept of "uniformly 2-absorbing primary ideals" of commutative rings, which imposes a certain boundedness condition on the usual notion of 2-absorbing primary ideals of commutative rings. Then we investigate some properties of uniformly 2-absorbing primary ideals of commutative rings with examples. Also, we investigate
arxiv
Coupled fixed point results for nonlinear integral equations
In this paper, we prove some coupled coincidence point theorems for such nonlinear contraction mappings having a mixed monotone property in partially ordered metric spaces by dropping the condition of commutative. We also prove coupled common fixed point
Wutiphol Sintunavarat, Poom Kumam
doaj +1 more source
Non-commutative coverings spaces [PDF]
In this article, we will define non-commutative covering spaces using Hopf-Galois theory. We will look at basic properties of covering spaces that still hold for these non-commutative analogues. We will describe examples including coverings of commutative spaces and coverings of non-commutative tori.
arxiv
Wiener Tauberian theorems for vector-valued functions
Different versions of Wiener's Tauberian theorem are discussed for the generalized group algebra L1(G,A) (of integrable functions on a locally compact abelian group G taking values in a commutative semisimple regular Banach algebra A) using A-valued ...
K. Parthasarathy, Sujatha Varma
doaj +1 more source
Commutative deductive systems of pseudo BCK-algebras [PDF]
In this paper we generalize the axiom systems given by M. Pa{\l}asi\'nski, B. Wo\'zniakowska and by W.H. Cornish for commutative BCK-algebras to the case of commutative pseudo BCK-algebras. A characterization of commutative pseudo BCK-algebras is also given.
arxiv