scholarly journals A characterization of locally finite varieties that satisfy a nontrivial congruence identity

1999 ◽  
Vol 42 (3) ◽  
pp. 195-204 ◽  
Author(s):  
Keith A. Kearnes
Keyword(s):  
Locally Finite ◽  
Congruence Identity ◽  
Locally Finite Varieties

A Characterization of Varieties with a Difference Term

1996 ◽  
Vol 39 (3) ◽  
pp. 308-315 ◽  
Author(s):  
Paolo Lipparini
Keyword(s):  
Locally Finite ◽  
Difference Term ◽  
Locally Finite Varieties

AbstractWe characterize, by means of congruence identities, all varieties having a weak difference term, and all neutral varieties. Our characterization of varieties with a difference term is new even in the particular case of locally finite varieties.

scholarly journals A Characterization of Minimal Locally Finite Varieties

1997 ◽  
Vol 349 (5) ◽  
pp. 1749-1768 ◽  
Author(s):  
Keith A. Kearnes ◽  
Ágnes Szendrei
Keyword(s):  
Locally Finite ◽  
Locally Finite Varieties

A characterization of idempotent strong Mal’cev conditions for congruence meet-semidistributivity in locally finite varieties

2018 ◽  
Vol 79 (3) ◽  
Author(s):  
Nemanja Draganić ◽  
Petar Marković ◽  
Vlado Uljarević ◽  
Samir Zahirović
Keyword(s):  
Locally Finite ◽  
Locally Finite Varieties

scholarly journals A characterization of congruence permutable locally finite varieties

1991 ◽  
Vol 140 (2) ◽  
pp. 362-369 ◽  
Author(s):  
Matthew A. Valeriote ◽  
Ross Willard
Keyword(s):  
Locally Finite ◽  
Locally Finite Varieties

Minimal, locally-finite varieties that are not finitely axiomatizable

1979 ◽  
Vol 9 (1) ◽  
pp. 374-390 ◽  
Author(s):  
Don Pigozzi
Keyword(s):  
Locally Finite ◽  
Locally Finite Varieties

Intersections of quotient rings and Prüfer v-multiplication domains

2016 ◽  
Vol 15 (08) ◽  
pp. 1650149 ◽  
Author(s):  
Said El Baghdadi ◽  
Marco Fontana ◽  
Muhammad Zafrullah
Keyword(s):  
Integral Domain ◽  
Algebraic Approach ◽  
Quotient Field ◽  
Topological Characterization ◽  
Locally Finite ◽  
Star Operation ◽  
Star Operations ◽  
Quotient Rings ◽  
Special Case

Let [Formula: see text] be an integral domain with quotient field [Formula: see text]. Call an overring [Formula: see text] of [Formula: see text] a subring of [Formula: see text] containing [Formula: see text] as a subring. A family [Formula: see text] of overrings of [Formula: see text] is called a defining family of [Formula: see text], if [Formula: see text]. Call an overring [Formula: see text] a sublocalization of [Formula: see text], if [Formula: see text] has a defining family consisting of rings of fractions of [Formula: see text]. Sublocalizations and their intersections exhibit interesting examples of semistar or star operations [D. D. Anderson, Star operations induced by overrings, Comm. Algebra 16 (1988) 2535–2553]. We show as a consequence of our work that domains that are locally finite intersections of Prüfer [Formula: see text]-multiplication (respectively, Mori) sublocalizations turn out to be Prüfer [Formula: see text]-multiplication domains (PvMDs) (respectively, Mori); in particular, for the Mori domain case, we reobtain a special case of Théorème 1 of [J. Querré, Intersections d’anneaux intègers, J. Algebra 43 (1976) 55–60] and Proposition 3.2 of [N. Dessagnes, Intersections d’anneaux de Mori — exemples, Port. Math. 44 (1987) 379–392]. We also show that, more than the finite character of the defining family, it is the finite character of the star operation induced by the defining family that causes the interesting results. As a particular case of this theory, we provide a purely algebraic approach for characterizing P vMDs as a subclass of the class of essential domains (see also Theorem 2.4 of [C. A. Finocchiaro and F. Tartarone, On a topological characterization of Prüfer [Formula: see text]-multiplication domains among essential domains, preprint (2014), arXiv:1410.4037]).

Characterization of Simple Symplectic Groups of Degree 4 over Locally Finite Fields in the Class of Periodic Groups

2018 ◽  
Vol 57 (3) ◽  
pp. 201-210
Author(s):  
D. V. Lytkina ◽  
V. D. Mazurov
Keyword(s):  
Finite Fields ◽  
Symplectic Groups ◽  
Locally Finite ◽  
Periodic Groups

scholarly journals Another characterization of congruence distributive varieties

2020 ◽  
Vol 57 (3) ◽  
pp. 284-289
Author(s):  
Paolo Lipparini
Keyword(s):  
Natural Number ◽  
Congruence Identity ◽  
Congruence Distributive

AbstractWe provide a Maltsev characterization of congruence distributive varieties by showing that a variety 𝓥 is congruence distributive if and only if the congruence identity … (k factors) holds in 𝓥, for some natural number k.

scholarly journals Criteria of closedness of nilradicals in zero dimensional locally compact rings

2021 ◽  
Vol 38 (1) ◽  
pp. 223-230
Author(s):  
MIHAIL URSUL ◽  
◽  
JOHN LANTA ◽  
Keyword(s):  
Locally Compact ◽  
Locally Finite ◽  
Totally Disconnected

We study in this paper conditions under which nilradicals of totally disconnected locally compact rings are closed. In the paper is given a characterization of locally finite compact rings via identities.

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