Centre of an algebra
نویسندگان
چکیده
منابع مشابه
Centre of an algebra
Motivated by algebraic structures appearing in Rational Conformal Field Theory we study a construction associating to an algebra in a monoidal category a commutative algebra (full centre) in the monoidal centre of the monoidal category. We establish Morita invariance of this construction by extending it to module categories. As an example we treat the case of group-theoretical categories.
متن کاملOn subalgebras of an evolution algebra of a "chicken" population
We consider an evolution algebra which corresponds to a bisexual population with a set of females partitioned into finitely many different types and the males having only one type. For such algebras in terms of its structure constants we calculate right and plenary periods of generator elements. Some results on subalgebras of EACP and ideals on low-dimensional EACP are obtained.
متن کاملCoherence in amalgamated algebra along an ideal
Let $f: Arightarrow B$ be a ring homomorphism and let $J$ be an ideal of $B$. In this paper, we investigate the transfer of the property of coherence to the amalgamation $Abowtie^{f}J$. We provide necessary and sufficient conditions for $Abowtie^{f}J$ to be a coherent ring.
متن کاملDensity Theorems for the Centre of a C * - Algebra
where 3 is the centre of 51 and cl denotes closure in the norm topology. When 5t is a von Neumann algebra this result is already known (see [7; Lemma 9, p. 255], where the method requires only trivial modification to deal with the case of a left ideal), and the proof in that situation involves the restriction of an operator in M to a subspace on which it can be inverted. The proof given here fo...
متن کاملBaubles and Trinkets in the Centre of an Iwahori-hecke Algebra
This paper presents two results on central elements in Iwahori-Hecke algebras. Both arise from characteristics of the minimal basis for the centre of an IwahoriHecke algebra ([9],[5]). The first, a bauble, is restricted to type A algebras, and describes the elementary symmetric functions of Murphy operators in terms of the minimal basis for the centre. The elementary symmetric functions are of ...
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: Advances in Mathematics
سال: 2010
ISSN: 0001-8708
DOI: 10.1016/j.aim.2010.02.018