The duality between algebras and coalgebras

被引：0

作者：

Nichita F.F. ^{[1
,2
]}

Schack S.D. ^{[3
]}

机构：

[1] Department of Mathematics, University of Wales Swansea, SA2 8PP Singleton Park, Swansea

[2] Institute of Mathematics of the Romanian Academy, Bucharest

[3] Department of Mathematics, University at Buffalo, The State University of New York, 14260-2900 Buffalo, NY

来源：

Annali dell’Università di Ferrara | 2005年 / 51卷 / 1期

关键词：

Hopf Algebra; Duality Theorem; Finite Dimensional Algebra; Monoidal Functor; Coalgebra Structure;

D O I：

10.1007/BF02824829

中图分类号：

学科分类号：

摘要：

In this paper we introduce the category of Yang-Baxter structures. We give examples of objects in this category. We construct full and faithful embbedings from the categories of algebra and coalgebra structures to the category of Yang-Baxter structures. Then we give a new duality theorem which extends the duality between finite dimensional algebras and coalgebras. © 2005 Università degli Studi di Ferrara.

引用

页码：173 / 181

页数：8

共 50 条

[1] The duality between vertex operator algebras and coalgebras, modules and comodules
Hubbard, Keith
[J]. LIE ALGEBRAS, VERTEX OPERATOR ALGEBRAS AND THEIR APPLICATIONS, 2007, 442 : 339 - 354
[2] Duality theorems for graded algebras and coalgebras
Dascalescu, S
Nastasescu, C
VanOystaeyen, F
Torrecillas, B
[J]. JOURNAL OF ALGEBRA, 1997, 192 (01) : 261 - 276
[3] DUAL ADJUNCTIONS BETWEEN ALGEBRAS AND COALGEBRAS
Porst, Hans-E.
[J]. ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING, 2008, 33 (2C): : 407 - 411
[4] Colby-Fuller duality between coalgebras
Torrecillas, JG
Nastasescu, C
[J]. JOURNAL OF ALGEBRA, 1996, 185 (02) : 527 - 543
[5] The structure theorem and duality theorem for endomorphism algebras of weak Hopf group coalgebras
Jia, Ling
[J]. JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2017, 16 (11)
[6] DUALITY FOR POWERSET COALGEBRAS
Bezhanishvili, Guram
Carai, Luca
Morandi, Patrick J.
[J]. LOGICAL METHODS IN COMPUTER SCIENCE, 2020, 18 (01)
[7] Sheaf coalgebras and duality
Mrcun, Janez
[J]. TOPOLOGY AND ITS APPLICATIONS, 2007, 154 (15) : 2795 - 2812
[8] Algebras and coalgebras
Aczel, P
[J]. ALGEBRAIC AND COALGEBRAIC METHODS IN THE MATHEMATICS OF PROGRAM CONSTRUCTION, 2002, 2297 : 79 - 88
[9] ALGEBRAS, COALGEBRAS AND COTRIPLEABILITY
FREI, A
MACDONAL.JL
[J]. ARCHIV DER MATHEMATIK, 1971, 22 (01) : 1 - &
[10] Algebras Versus Coalgebras
Robert Wisbauer
[J]. Applied Categorical Structures, 2008, 16 : 255 - 295

← 1 2 3 4 5 →