Minimal varieties of algebras of exponential growth
نویسندگان
چکیده
منابع مشابه
Minimal Varieties of Algebras of Exponential Growth
The exponent of a variety of algebras over a field of characteristic zero has been recently proved to be an integer. Through this scale we can now classify all minimal varieties of a given exponent and of finite basic rank. As a consequence we describe the corresponding T-ideals of the free algebra, and we compute the asymptotics of the related codimension sequences. We then verify in this sett...
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1. Congruence lattices. G. Birkhoff and O. Frink noted that the congruence lattice Con04) of an algebra A (with operations of finite rank) is algebraic or compactly generated. The celebrated Grätzer-Schmidt theorem states that, conversely, every algebraic lattice is isomorphic to Con(A) for some algebra A. The importance of this is obvious, for it shows that unless something more is known about...
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ژورنال
عنوان ژورنال: Electronic Research Announcements of the American Mathematical Society
سال: 2000
ISSN: 1079-6762
DOI: 10.1090/s1079-6762-00-00078-0