Results 31 to 40 of about 730,391 (289)

Soft ideals of soft ternary semigroups

Heliyon, 2021
In this paper, we introduce the notions of certain classes of soft ideals in soft ternary semigroups and study some inter-relations between different types of soft ideals in a soft ternary semigroup.
S. Kar, I. Dutta
doaj   +1 more source

On differentially prime ideals of Noetherian semirings

Науковий вісник Ужгородського університету. Серія: Математика і інформатика, 2022
The paper is devoted to the investigation of the notion of a differentially prime ideal of a differential commutative semiring (i. e. a semiring equipped with a derivation), and its interrelation with the notions of a quasi-prime ideal and a primary ...
І. О. Мельник
doaj   +1 more source

Ideals Modulo a Prime

Journal of Algebra and Its Applications, 2020
The main focus of this paper is on the problem of relating an ideal [Formula: see text] in the polynomial ring [Formula: see text] to a corresponding ideal in [Formula: see text] where [Formula: see text] is a prime number; in other words, the reduction modulo[Formula: see text] of [Formula: see text].
John Abbott, Anna Maria Bigatti, Lorenzo Robbiano   +2 more
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∇-prime rings and their commutativity

Journal of Taibah University for Science, 2023
Consider a ring with an (anti)-automorphism ∇ of finite order. The fundamental aim of this manuscript is to introduce the notions of ∇-(semi)prime ideal and ∇-(semi)prime ring as a generalization of the notions of (semi)prime ideal, [Formula: see text ...
Mohammad Aslam Siddeeque, Abbas Hussain Shikeh   +1 more
doaj   +1 more source

Binomial Difference Ideal and Toric Difference Variety [PDF]

, 2015
In this paper, the concepts of binomial difference ideals and toric difference varieties are defined and their properties are proved. Two canonical representations for Laurent binomial difference ideals are given using the reduced Groebner basis of Z[x ...
Gao, Xiao-Shan, Huang, Zhang, Yuan, Chun-Ming   +2 more
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Projective prime ideals and localisation in pi-rings [PDF]

, 2001
The results here generalise [2, Proposition 4.3] and [9, Theorem 5.11]. We shall prove the following. THEOREM A. Let R be a Noetherian PI-ring. Let P be a non-idempotent prime ideal of R such that PR is projective. Then P is left localisable and RP is
Chatters, A. W., Hajarnavis, C. R., Lissaman, R. M.   +2 more
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Expansions of Prime Ideals

Rocky Mountain Journal of Mathematics, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Malcolmson, P., Okoh, F.
openaire   +2 more sources

A note On 2-prime ideals [PDF]

Journal of Mahani Mathematical Research
Let $R$ be a commutative ring with identity. In this paper, we study 2-prime ideals of a Dedekind domain and a Pr\"{u}fer domain. We prove that a nonzero ideal $I$ of a Dedekind domain $R$ is 2-prime if and only if $I=P^{\alpha}$, for some maximal ideal $
Somayeh Hadjirezaei, Vajihe Sharifi
doaj   +1 more source

Comparison of symbolic and ordinary powers of ideals [PDF]

, 2002
In this paper we generalize the theorem of Ein-Lazarsfeld-Smith (concerning the behavior of symbolic powers of prime ideals in regular rings finitely generated over a field of characteristic 0) to arbitrary regular rings containing a field.
Hochster, Melvin, Huneke, Craig
core   +3 more sources

Noncommutative generalizations of theorems of Cohen and Kaplansky [PDF]

, 2011
This paper investigates situations where a property of a ring can be tested on a set of "prime right ideals." Generalizing theorems of Cohen and Kaplansky, we show that every right ideal of a ring is finitely generated (resp.
A Kertész, AV Jategaonkar, AV Jategaonkar, AW Goldie, AW Goldie, BL Osofsky, BV Zabavs’kiĭ, D Eisenbud, DV Huynh, EG Evans Jr, G Krause, I Kaplansky, IS Cohen, JA Beachy, JC McConnell, JC Robson, JC Robson, JJ Koker, K Koh, K Koh, KR Goodearl, KR Goodearl, Manuel L. Reyes, ML Reyes, PF Smith, PF Smith, PF Smith, PM Cohn, R Gordon, SA Amitsur, SM Bhatwadekar, TY Lam, TY Lam, TY Lam, TY Lam, TY Lam, TY Lam, VR Chandran, VR Chandran   +38 more
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