منابع مشابه
Torsion Classes of Finite Type and Spectra
Given a commutative ring R (respectively a positively graded commutative ring A = ⊕j>0Aj which is finitely generated as an A0-algebra), a bijection between the torsion classes of finite type in ModR (respectively tensor torsion classes of finite type in QGrA) and the set of all subsets Y ⊆ Spec R (respectively Y ⊆ Proj A) of the form Y = S i∈Ω Yi, with Spec R \ Yi (respectively Proj A \ Yi) qua...
متن کاملSome numerical results on two classes of finite groups
In this paper, we consider the finitely presented groups $G_{m}$ and $K(s,l)$ as follows;$$G_{m}=langle a,b| a^m=b^m=1,~[a,b]^a=[a,b],~[a,b]^b=[a,b]rangle $$$$K(s,l)=langle a,b|ab^s=b^la,~ba^s=a^lbrangle;$$and find the $n^{th}$-commutativity degree for each of them. Also we study the concept of $n$-abelianity on these groups, where $m,n,s$ and $l$ are positive integers, $m,ngeq 2$ and $g.c.d(s,...
متن کاملCOMPUTING THE PRODUCTS OF CONJUGACY CLASSES FOR SPECIFIC FINITE GROUPS
Suppose $G$ is a finite group, $A$ and $B$ are conjugacy classes of $G$ and $eta(AB)$ denotes the number of conjugacy classes contained in $AB$. The set of all $eta(AB)$ such that $A, B$ run over conjugacy classes of $G$ is denoted by $eta(G)$.The aim of this paper is to compute $eta(G)$, $G in { D_{2n}, T_{4n}, U_{6n}, V_{8n}, SD_{8n}}$ or $G$ is a decomposable group of order $2pq$, a group of...
متن کاملGrowth-type Invariants for Z Subshifts of Finite Type and Classes Arithmetical of Real Numbers
We discuss some numerical invariants of multidimensional shifts of finite type (SFTs) which are associated with the growth rates of the number of admissible finite configurations. Extending an unpublished example of Tsirelson [15], we show that growth complexities of the form exp(n) are possible for non-integer α’s. In terminology of [3], such subshifts have entropy dimension α. The class of po...
متن کاملComparing classes of finite structures
In many branches of mathematics, there is work classifying a collection of objects, up to isomorphism or other important equivalence, in terms of nice invariants. In descriptive set theory, there is a body of work using a notion of “Borel embedding” to compare the classification problems for various classes of structures (fields, graphs, groups, etc.) [7], [3], [11], [12], [13]. In this work, e...
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 1963
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.1963.13.603