Quasi-Armendariz rings relative to a monoid
Let \(M\) be a monoid. An associative ring \(R\) with an identity is called \(M\)-quasi-Armendariz if for any two elements \(a=a_1g_1+\cdots+a_ng_n\) and \(b=b_1h_1+\cdots+b_kh_k\), \(a_i,b_j\in R\), \(g_i,h_j\in M\), of the semigroup ring \(R[M]\) such that \(aR[M]b=0\) it follows that \(a_iRb_j=0\) for all \(i,j\).
openaire +2 more sources
On A Generalization of Weak Armendariz Rings
We introduce the notion of J-Armendariz rings, which are a generalization of weak Armendariz rings and investigate their properties. We show that any local ring is J-Armendariz, and then fined a local ring that is not weak Armendariz.
Sanaei, Mahboubeh +2 more
openaire +2 more sources
Some remarks on the complement of the Armendariz graph of a commutative ring
Subramanian Visweswaran, Hiren D. Patel
doaj +1 more source
Armendariz ring with weakly semicommutativity
In this article, we introduce the weak ideal-Armendariz ring which combines Armendariz ring and weakly semicommutative properties of rings. In fact, it is a generalisation of an ideal-Armendariz ring. We investigate some properties of weak ideal Armendariz rings and prove that R is a weak ideal-Armendariz ring if and only if R[x] is weak ideal ...
Singh, Sushma, Prakash, Om
openaire +2 more sources
Growth, respiratory activity and chlorpyrifos biodegradation in cultures of Azotobacter vinelandii ATCC 12837. [PDF]
Conde-Avila V +8 more
europepmc +1 more source
Nutraceuticals: A Promising Therapeutic Approach in Ophthalmology. [PDF]
Castro-Castaneda CR +7 more
europepmc +1 more source
In this paper, we introduce the concept of k-potent Armendariz rings, generalizing the notion of Armendariz rings by requiring that products of coefficients of annihilating polynomials be k-potent instead of zero. We investigate the behavior of k-potent Armendariz rings under various ring constructions, such as direct product, skew polynomial extension,
Asma Ali, Shafahat Hussain
openaire +1 more source
Quantitative Representativeness and Constituency of the Long-Term Agroecosystem Research Network and Analysis of Complementarity with Existing Ecological Networks. [PDF]
Kumar J +5 more
europepmc +1 more source
Safe drugs with high potential to block malaria transmission revealed by a spleen-mimetic screening. [PDF]
Carucci M +18 more
europepmc +1 more source
Multi-institutional experience of genetic diagnosis in Ecuador: National registry of chromosome alterations and polymorphisms. [PDF]
Paz-Y-Miño C +33 more
europepmc +1 more source

