Results 11 to 20 of about 19,682 (235)
Prime Ideals of Transitive BE-Algebras
Discussiones Mathematicae - General Algebra and Applications, 2022 The notion of prime ideals is introduced in transitive BE-algebras. Prime ideals are characterized with the help of principal ideals. Prime ideal theorem is stated and derived for BE-algebras.
Prabhakar M. Bala +2 more
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The Characteristic of the Minimal Ideals and the Minimal Generalized Ideals in Rings
International Journal of Mathematics and Mathematical Sciences, 2023 In this paper, we prove that the characteristic of a minimal ideal and a minimal generalized ideal, which is meant to be one of minimal left ideal, minimal right ideal, bi-ideal, quasi-ideal, and m,n-ideal in a ring, is either zero or a prime number p ...
Rigena Sema, Petraq Petro, Kostaq Hila
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Disjunctive Ideals of Almost Distributive Lattices
Discussiones Mathematicae - General Algebra and Applications, 2022 The concept of disjunctive ideals is introduced in an Almost Distributive Lattice (ADL). It is proved that the set of all disjunctive ideals of an ADL forms a complete lattice.
Rafi N., Srujana M., Rao T. Srinivasa
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The minimal prime ideal of a valuation ring [PDF]
Proyecciones (Antofagasta), 2017 In this paper we consider a non-archimedean ordered field (K, ?) and a valuation v of K compatible with respect to ?. We will give a relation between the existence of a minimal prime ideal of the valuation ring Av and the rank of the valuation.
BRUSAMARELLO, ROSALI +2 more
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A characterization of minimal prime ideals [PDF]
Glasgow Mathematical Journal, 1998 AbstractLet P be a prime ideal of a ring R, O(P) = {a ∊ R | aRs = 0, for some s ∊ R/P} | and Ō(P) = {x ∊ R | xn ∊ O(P), for some positive integer n}. Several authors have obtained sheaf representations of rings whose stalks are of the form R/O(P). Also in a commutative ring a minimal prime ideal has been characterized as a prime ideal P such that P= Ō ...
Birkenmeier, Gary F. +2 more
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A Note on Minimal Prime Ideals [PDF]
Proceedings of the American Mathematical Society, 1994 Let R be a commutative ring and I an ideal of R . We show that if all the prime ideals minimal over I are finitely generated, then there are only finitely many prime ideals ...
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On quasi-prime differential semiring ideals
Науковий вісник Ужгородського університету. Серія: Математика і інформатика, 2020 The notion of a \verb"quasi-prime ideal", for the first time, was introduced in differential commutative rings, i.e. commutative rings considered together with a derivation, as differential ideals maximal among those not meeting some multiplicatively ...
І. О. Мельник
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Gluing minimal prime ideals in local rings
Communications in Algebra, 2022 9 ...
Colbert, Cory H., Loepp, S.
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Journal of Algebraic SystemsRecently, the concept of r-ideal was introduced in a commutative ring and also in a commutative semigroup. Here, we provide a similar definition for r-ideal in a frame and investigate someof its properties.
Ali Akbar Estaji +2 more
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