منابع مشابه
Varieties of Commutative Semigroups
In this paper, we describe all equational theories of commutative semigroups in terms of certain well-quasi-orderings on the set of finite sequences of nonnegative integers. This description yields many old and new results on varieties of commutative semigroups. In particular, we obtain also a description of the lattice of varieties of commutative semigroups, and we give an explicit uniform sol...
متن کاملCommutative Positive Varieties of Languages
We study the commutative positive varieties of languages closed under various operations: shuffle, renaming and product over one-letter alphabets. Most monoids considered in this paper are finite. In particular, we use the term variety of monoids for variety of finite monoids. Similarly, all languages considered in this paper are regular languages and hence their syntactic monoid is finite.
متن کاملClassifying Varieties of Anti-commutative Algebras
This paper classiies varieties of anti-commutative algebras deened by identities of degree n 7 by computing the decomposition of the S n-module of multi-linear anti-commutative polynomials of degree n into simple submodules. The results are valid over any eld of characteristic 0. In the case n = 4 these varieties were classiied by Kass and Witthoft, using Osborn's method of irreducible identiti...
متن کاملMinimal Varieties of Representable Commutative Residuated Lattices
We solve several open problems on the cardinality of atoms in the subvariety lattice of residuated lattices and FL-algebras [4, Problems 17–19, pp. 437]. Namely, we prove that the subvariety lattice of residuated lattices contains continuum many 4-potent commutative representable atoms. Analogous results apply also to atoms in the subvariety lattice of FLi-algebras and FLo-algebras. On the othe...
متن کامل0 Non - commutative Symplectic Geometry , Quiver varieties
Quiver varieties have recently appeared in various different areas of Mathematics such as representation theory of Kac-Moody algebras and quantum groups, instantons on 4-manifolds, and resolutions Kleinian singularities. In this paper, we show that many important affine quiver varieties, e.g., the Calogero-Moser space, can be imbedded as coadjoint orbits in the dual of an appropriate infinite d...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of the Mathematical Society of Japan
سال: 1960
ISSN: 0025-5645
DOI: 10.2969/jmsj/01230227