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Graded Weakly Strongly Quasi-Primary Ideals over Commutative Graded Rings

Mathematics
In this article, we introduce and examine the concept of graded weakly strongly quasi primary ideals. A proper graded ideal P of R is said to be a graded weakly strongly quasi primary (shortly, Gwsq-primary) ideal if whenever 0≠xy∈P, for some homogeneous
Azzh Saad Alshehry, Rashid Abu-Dawwas, Basel Hawary   +2 more
doaj   +2 more sources

Properties of ϕ-Primal Graded Ideals

Journal of Mathematics, 2017
Let R be a commutative graded ring with unity 1≠0. A proper graded ideal of R is a graded ideal I of R such that I≠R. Let ϕ:I(R)→I(R)∪{∅} be any function, where I(R) denotes the set of all proper graded ideals of R.
Ameer Jaber
doaj   +1 more source

Control subgroups and birational extensions of graded rings

International Journal of Mathematics and Mathematical Sciences, 1999
In this paper, we establish the relation between the concept of control subgroups and the class of graded birational algebras. Actually, we prove that if R=⊕σ∈GRσ is a strongly G-graded ring and H⊲G, then the embedding i:R(H)↪R, where R(H)=⊕σ∈HRσ, is a ...
Salah El Din S. Hussein
doaj   +1 more source

Prime Ideals and Three-generated Ideals with Large Regularity

Comptes Rendus. Mathématique
Ananyan and Hochster proved the existence of a function $\Phi (m,d)$ such that any graded ideal $I$ generated by $m$ forms of degree at most $d$ in a standard graded polynomial ring satisfies $\mathrm{reg}(I) \le \Phi (m,d)$. Relatedly, Caviglia et.
McCullough, Jason
doaj   +1 more source

The Norm Function for Commutative ${\mathbb{Z}}_2$-Graded Rings

Axioms
Consider a commutative Z2-graded ring (R=R0⨁R1). Consequently, each element (x∈R) can be uniquely expressed as x=x0+x1, where x0∈R0 and x1∈R1. For any x∈R, we consider the function N(x)=x02−x12.
Azzh Saad Alshehry, Rashid Abu-Dawwas
doaj   +1 more source

Phase-space representations of quantum error-correcting codes

Physical Review Research
We connect the structure theorem for quasiprobability representations to quantum error correction. For a code space invariant under a subgroup of an extended Weyl-Heisenberg group, the Brif-Mann construction gives a semifunctorial representation whenever
Enrico Bozzetto, Jonte R. Hance
doaj   +1 more source

EVIDENCE-BASED MEDICINE AND CLINICAL PRACTICE IN PAKISTAN

Khyber Medical University Journal, 2014
Optimum patient care is the hallmark of clinical practice. It depends upon the clinician’s knowledge, clinical skills and judgement in identifying the patient’s problems, diagnosing the basic pathology and making a clinical decision regarding best ...
Akhtar Sherin
doaj  

On graded classical B-2-absorbing submodules. [PDF]

Heliyon, 2022
Al-Zoubi K, Ali M, Alkhatib M.
europepmc   +1 more source

Persistent Stanley-Reisner Theory. [PDF]

Found Data Sci
Suwayyid F, Wei GW.
europepmc   +1 more source

The profinite rigidity of torsion-free lamplighter groups. [PDF]

Math Ann
Nikolov N, Wykowski J.
europepmc   +1 more source