Compactness Conditions in Universal Algebraic Geometry

P. Modabberi; M. Shahryari

doi:10.1007/s10469-016-9384-7

Compactness Conditions in Universal Algebraic Geometry

P. Modabberi^*, M. Shahryari

^*المؤلف المقابل لهذا العمل

Mathematics

نتاج البحث: المساهمة في مجلة › Article › مراجعة النظراء

5 اقتباسات (Scopus)

ملخص

Different types of compactness in the Zariski topology are explored: for instance, equational Noetherianity, equational Artinianity, q_ω-compactness, and u_ω-compactness. Moreover, general results on the Zariski topology over algebras and groups are proved.

اللغة الأصلية	English
الصفحات (من إلى)	146-172
عدد الصفحات	27
دورية	Algebra and Logic
مستوى الصوت	55
رقم الإصدار	2
المعرِّفات الرقمية للأشياء	https://doi.org/10.1007/s10469-016-9384-7
حالة النشر	Published - مايو 1 2016

ASJC Scopus subject areas

???subjectarea.asjc.2600.2603???
???subjectarea.asjc.2600.2602???
???subjectarea.asjc.2600.2609???

الوصول إلى المستند

10.1007/s10469-016-9384-7

الملفات والروابط الأخرى

قم بذكر هذا

@article{469992cb2cd44eb8b4d695fdf3d29777,

title = "Compactness Conditions in Universal Algebraic Geometry",

abstract = "Different types of compactness in the Zariski topology are explored: for instance, equational Noetherianity, equational Artinianity, qω-compactness, and uω-compactness. Moreover, general results on the Zariski topology over algebras and groups are proved.",

keywords = "Hilbert{\textquoteright}s basis theorem, Zariski topology, algebraic sets, algebraic structures, coordinate algebra, equational domains, equationally Artinian algebras, equationally Noetherian algebras, equations, free algebras, metacompact algebras, metacompact spaces, prevarieties, q-compactness, radical ideal, u-compactness, varieties",

author = "P. Modabberi and M. Shahryari",

note = "Publisher Copyright: {\textcopyright} 2016, Springer Science+Business Media New York.",

year = "2016",

month = may,

day = "1",

doi = "10.1007/s10469-016-9384-7",

language = "English",

volume = "55",

pages = "146--172",

journal = "Algebra and Logic",

issn = "0002-5232",

publisher = "Springer New York",

number = "2",

}

TY - JOUR

T1 - Compactness Conditions in Universal Algebraic Geometry

AU - Modabberi, P.

AU - Shahryari, M.

PY - 2016/5/1

Y1 - 2016/5/1

N2 - Different types of compactness in the Zariski topology are explored: for instance, equational Noetherianity, equational Artinianity, qω-compactness, and uω-compactness. Moreover, general results on the Zariski topology over algebras and groups are proved.

AB - Different types of compactness in the Zariski topology are explored: for instance, equational Noetherianity, equational Artinianity, qω-compactness, and uω-compactness. Moreover, general results on the Zariski topology over algebras and groups are proved.

KW - Hilbert’s basis theorem

KW - Zariski topology

KW - algebraic sets

KW - algebraic structures

KW - coordinate algebra

KW - equational domains

KW - equationally Artinian algebras

KW - equationally Noetherian algebras

KW - equations

KW - free algebras

KW - metacompact algebras

KW - metacompact spaces

KW - prevarieties

KW - q-compactness

KW - radical ideal

KW - u-compactness

KW - varieties

UR - http://www.scopus.com/inward/record.url?scp=84982141363&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84982141363&partnerID=8YFLogxK

U2 - 10.1007/s10469-016-9384-7

DO - 10.1007/s10469-016-9384-7

M3 - Article

AN - SCOPUS:84982141363

SN - 0002-5232

VL - 55

SP - 146

EP - 172

JO - Algebra and Logic

JF - Algebra and Logic

IS - 2

ER -

Compactness Conditions in Universal Algebraic Geometry

ملخص

ASJC Scopus subject areas

الوصول إلى المستند

الملفات والروابط الأخرى

بصمة

قم بذكر هذا