Maximal idealTopologyIn this paper, the notion of minimal prime ideal is introduced in residuated lattices and related properties are investigated. Also, new equivalent characterizations and properties for prime and maximal ideals are obtained and the relation between these ideals and minimal prime ...
We study prime and maximal ideals of a partial skew polynomial ring when the given partial action ± has an enveloping action.doi:10.1080/00927870601142017Cortes, WagnerFerrero, MiguelTaylor & Francis GroupCommunications in AlgebraW. Cortes, M. Ferrero, Partial skew polynomial rings: Prime and ...
Prime ideals and maximal ideals in semigroups TY - JOURAU - Schwarz, 艩tefanTI - Prime ideals and maximal ideals in semigroupsJO - Czechoslovak Mathematical JournalPY - 1969PB - Institute of Mathematics, Academy of Sciences of the Czech RepublicVL - 19IS - 1SP - 72EP - 79LA - engKW...
Maximal Ideal Prime Ideal Fractional Ideal 例子5.4 - fractional ideal 定理5.5 ***定理5.6 STEP1 STEP2 ideal的逆 STEP3 STEP4 STEP5* STEP6 STEP7 - 证明定理5.5 STEP8 - 非零ideals可以被写为一些prime ideals的乘积 STEP9 - 分解方式唯一 注:本文是答主在NTU学习以代数数论为题的Independent Study的学习...
(under inclusion) of proper ideals ofRR. It is non-empty because it contains the zero ideal. An application of Zorn's lemma gives us that every ideal is contained in a maximal ideal. Since maximal ideals are prime, this shows the existence of prime ideals inRR. In fact, this argument ...
2) maximal ideal 极大理想 1. Submaximal idealand subminimal ideal of semiring; 半环的次极大理想与次极小理想 2. We also obtain the representation forms of Riesz homomorphisms andmaximal ideals on E whenever E=C(X) and E i=C(X i) for realcompact space X and X i. ...
It is shown that, the class of z 0-ideals (hence all sz 0-ideals), maximal ideals in an Artinian or in a Kasch ring, annihilator ideals, and minimal prime ideals over a d -ideal are some distinguished classes of d -ideals. Furthermore, we introduce the class of f d -ideals as ...
Earlier the authors have introduced the concepts of prime ideals, semiprime ideals, primary ideals, and radical of an ideal in an L-ring. They have also introduced and discussed the notion of a maximal ideal in different papers wherein several results pertaining to these notions have been ...
ideal. We investigate the relationships between these ideals and their connections to minimal prime ideals and maximal ideals. Additionally, we explore various properties such as extension, transitivity, meet, join, and annihilator. Finally, we study prime ideals inMVMV-algebras of continuous functions...
It is shown that, the class of z 0-ideals (hence all sz 0-ideals), maximal ideals in an Artinian or in a Kasch ring, annihilator ideals, and minimal prime ideals over a d -ideal are some distinguished classes of d -ideals. Furthermore, we introduce the class of f d -ideals as ...