On essential variables of dual operations and the consequences for operations

被引：6

作者：

Kerkhoff, Sebastian ^{[1
]}

机构：

[1] Tech Univ Dresden, Inst Algebra, D-01069 Dresden, Germany

来源：

ALGEBRA UNIVERSALIS | 2013年 / 70卷 / 01期

关键词：

essential variable; dual operation; essential arity; arity gap; duality theory;

D O I：

10.1007/s00012-013-0234-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate essential variables of dual operations (or co-operations) in a rather general category-theoretic setting. During this investigation, we collect some results about the essential arities and arity gaps of dual operations in concrete categories. Afterwards, we use duality theory to show that this approach and the obtained results can also be beneficial for questions regarding essential variables of operations on sets.

引用

页码：43 / 70

页数：28

共 50 条

[1] On essential variables of dual operations and the consequences for operations
Sebastian Kerkhoff
Algebra universalis, 2013, 70 : 43 - 70
[2] Essential Operations Management
Karjalainen, Katri
INTERNATIONAL JOURNAL OF OPERATIONS & PRODUCTION MANAGEMENT, 2012, 32 (1-2) : 256 - 258
[3] Unintended Consequences of Peacekeeping Operations
Peake, Gordon
INTERNATIONAL PEACEKEEPING, 2009, 16 (03) : 445 - 447
[4] OPERATIONS ON DISTRIBUTION FUNCTIONS NOT DERIVABLE FROM OPERATIONS ON RANDOM-VARIABLES
SCHWEIZER, B
SKLAR, A
STUDIA MATHEMATICA, 1974, 52 (01) : 43 - 52
[5] Essential operations in centralizer clones
Sichler, J.
Trnkova, V.
ALGEBRA UNIVERSALIS, 2008, 59 (3-4) : 277 - 301
[6] Essential utilities for analysis and operations
Depalma, Angelo
Lab Manager, 2012, 7 (06): : 60 - 61
[7] Essential operations in centralizer clones
J. Sichler
V. Trnková
Algebra universalis, 2008, 59 : 277 - 301
[8] MAINTENANCE - ESSENTIAL SERVICE TO OPERATIONS
WEBSTER, L
CANADIAN MINING JOURNAL, 1977, 98 (06) : 27 - 34
[9] THE PATTERN VARIABLES - SOME EMPIRICAL OPERATIONS
DEAN, LR
AMERICAN SOCIOLOGICAL REVIEW, 1961, 26 (01) : 80 - 90
[10] Numerical Operations on Random Variables and their Application
Dobronets, Boris S.
Popova, Olga A.
JOURNAL OF SIBERIAN FEDERAL UNIVERSITY-MATHEMATICS & PHYSICS, 2011, 4 (02): : 229 - 239

← 1 2 3 4 5 →