Dasari RaoMadhusudhana rao. D, and Manikya rao. CH., Ternary semigroups in which prime ideals are maximal and primary ideals are prime and maximal - Elixir Advances in Pure Mathematics, 59 (2013) 15368-15374.
Some sufficient conditions are given under which a topological space X such that every fixed maximal -ideal of C(X) has finite rank is an SV-space. A commutative f-ring with identity element is said to be quasi-normal if the sum of any two different minimal prime -ideals is either a ...
Some conditions under which prime ideals are maximal are given. 机译:在[Algebra and DiscreteMathematics,2(2003),32–35]中,Kehayopulu N.,Ponizovskii J.和Tsingelis M.表明,在具有身份的交换半群(分别是有序半群)中,每个最大理想都是一个素理想,并且相反,通常情况并非如此。在本文中,我们证明了...
LetRbe a finitely generated commutative ring. Denote by{\widehat{R}}the profinite completion ofRand by{{\,\textrm{Max}\,}}Rthe set of maximal ideals ofR. Let{\textbf{m}}\in {{\,\textrm{Max}\,}}R. Observe that, since the fieldR/{\textbf{m}}is finitely generated as a ring, ...
Let BH ∞ (Ω) be the space of analytic functions f in the region Ω for which | f ( z )| ≤ 1, z ∈Ω, and let K be a compact subset of Ω. How can we compute the values of any function f ∈ BH ∞ (Ω) at an arbitrary point z ∈ K ? One of the approaches to thi...
Note that some authors restrict the term "ideal" to O-modules whose left and right orders are maximal, because their properties are then more similar to those of ideals in algebraic number fields. Another term in use is that of a (full) O-lattice, compare [20] and [23]. The following...
Let A be a nonmaximal order with conductor I and such that its integral closure Ä is a PID. Then A is weakly factorial if and only if there is a monoid isomorphism iPj (A) —*• 3>ι (Λ) where «J5/(A) (resp.Ρ/ (A)) is the set of principal ideals of A (resp. ...
NEAR SUBTRACTION SEMIGROUPS IN WHICH PRIME IDEALS ARE MAXIMAL-IReddy, M. JayaramiPrasad, P. SivaRao, D. MadhusudanaJournal of Positive School Psychology
Moreover, we prove that it is possible to introduce and study, by a standard way, Zariski topology on the lattice P(L) of prime ideals of any residuated lattice L. Also, since mP(L), the set of minimal prime ideals of L, and M(L), the set of maximal ideals of L, are subsets...
In this paper we study the prime and maximal ideals in subrings A(X) of C(X) that contain C(X). We show that many of the results known separately for C(X) and C(X), often by different methods, are true for any such A(X). Our results put the problems of C(X) and C(X)...