NDLI: On independent varieties and some related notions

Content Provider	Springer Nature Link
Author	Paoli, Francesco Ledda, Antonio Kowalski, Tomasz
Copyright Year	2013
Abstract	We investigate the relation of independence between varieties, as well as a generalisation of such which we call strict quasi-independence. Concerning the former notion, we specify a procedure for constructing an independent companion of a given solvable subvariety of a congruence modular variety; we show that joins of independent varieties inherit Mal’cev properties from the joinands; we investigate independence in 3- and 4-permutable varieties; we provide a more economical axiomatisation for the join of two independent varieties than the ones available in the literature. We also explore the latter notion, showing inter alia that joins of strictly quasi-independent varieties inherit the congruence extension property and the strong amalgamation property from the joinands, and conversely. An application section investigates independent varieties of Boolean algebras with operators (in particular, Akishev and Goldblatt’s bounded monadic algebras) and of groups. In particular, a complete characterisation of independent varieties of groups is given.
Ending Page	136
Page Count	30
Starting Page	107
File Format	PDF
ISSN	00025240
e-ISSN	14208911
Journal	algebra universalis
Issue Number	2
Volume Number	70
Language	English
Publisher	Springer Basel
Publisher Date	2013-07-25
Publisher Place	Basel
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	bounded monadic algebras Algebra Subdirect products and subdirect irreducibility amalgamation property independent varieties Products, amalgamated products, and other kinds of limits and colimits congruence extension property groups quasi-independent varieties Equational classes, universal algebra
Content Type	Text
Resource Type	Article
Subject	Logic Algebra and Number Theory

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Absolute retracts and essential extensions in congruence modular varieties

Varieties defined by linear equations have the amalgamation property

Critical points of pairs of varieties of algebras

Absolute Retracts and Essential Extensions in Congruence Modular Varieties

Algebraically closed algebras in certain small congruence distributive varieties

Joins and subdirect products of varieties

On coproducts in varieties, quasivarieties and prevarieties

On congruence extension properties for ordered algebras

The variety of quasi-Stone algebras does not have the amalgamation property

On independent varieties and some related notions

Similar Documents

Absolute retracts and essential extensions in congruence modular varieties

Varieties defined by linear equations have the amalgamation property

Critical points of pairs of varieties of algebras

Absolute Retracts and Essential Extensions in Congruence Modular Varieties

Algebraically closed algebras in certain small congruence distributive varieties

Joins and subdirect products of varieties

On coproducts in varieties, quasivarieties and prevarieties

On congruence extension properties for ordered algebras

The variety of quasi-Stone algebras does not have the amalgamation property

On independent varieties and some related notions