Zobrazeno 1 - 10 of 61 pro vyhledávání: '"Kwangil Koh"'
1
Compact rings having a finite simple group of units
Autor: Kwangil Koh, Jo-Ann Cohen
Publikováno v: Journal of Pure and Applied Algebra. 119:13-26
For a compact Hausdorff ring, one observes that the group of units is a totally disconnected compact topological group and is a finite simple group if and only if it possesses no nontrivial closed normal subgroups. Three classification theorems for c
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d91a356ae58d62dd6ee9b441b8426990
https://doi.org/10.1016/s0022-4049(96)00128-4
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3
Topological and Algebraic Properties of the Subgroup Generated by the Involutions in a Compact Ring
Autor: Jo-Ann Cohen, Kwangil Koh
Publikováno v: Annals of the New York Academy of Sciences. 728:310-315
An analogue, W, of the Weyl group for a compact ring A is defined. A description of the topological and algebraic properties of W is given, as well as an indication of how the structure of A reflects that of W.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::98bac9f6da12c2c42f4c8ff054ed9d93
https://doi.org/10.1111/j.1749-6632.1994.tb44157.x
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4
The structure of compact rings
Autor: Kwangil Koh, Jo-Ann Cohen
Publikováno v: Journal of Pure and Applied Algebra. 77(2):117-129
In 1947 Kaplansky proved that if A is a compact ring with Jacobson radical J, then A⧸J is isomorphic and homeomorphic to a Cartesian product of matrix rings over finite fields. That result is used to give additional structure theorems for compact r
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5
The subgroup generated by the involutions in a compact ring
Autor: Kwangil Koh, Jo-Ann Cohen
Publikováno v: Communications in Algebra. 19:2923-2954
If A is a compact ring with identity and G is the group of units in A, an element g in G is an involution of A if g 2 = 1. Let ▵ denote the set of involutions in A and let W be the subgroup of G generated by ▵. Given g ∊ W, the lengthl (g), of
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::514f5918a0abb9748601ed6cd2d88440
https://doi.org/10.1080/00927879108824302
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7
Involutions in a compact ring
Autor: Kwangil Koh, Jo-Ann Cohen
Publikováno v: Journal of Pure and Applied Algebra. 59:151-168
The involutions in a compact ring with identity are investigated. It is shown that if the number m of involutions in an arbitrary ring A is finite and greater than one, then m is even. A characterization of those compact rings A having precisely one
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2e2f48d203f608f4c702c02aa7d24136
https://doi.org/10.1016/0022-4049(89)90131-x
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8
The group of units in a compact ring
Autor: Jo-Ann Cohen, Kwangil Koh
Publikováno v: Journal of Pure and Applied Algebra. 54(2-3):167-179
If A is a ring with identity and G is the group of units of A , then G acts naturally on the additive group A + of A by left multiplication (the regular action) and by conjugation (the conjugate action). If X is the set of nonzero, nonunits of A , th
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9
On the Complete Ring of Quotients
Autor: Kwangil Koh
Publikováno v: Canadian Mathematical Bulletin. 17:285-288
In [2: p. 415], P. Gabriel proves that if R is a ring with 1 and S is a non-empty multiplicative set such that 0∉S, then S-1R exists if and only if for every pair (a, s)∈R×S, there is a pair (b, t)∈R×S such that at=sb and if s1a=0 for some s1
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::b9de1efb1ca710fcb5ca0827fefd8505
https://doi.org/10.4153/cmb-1974-056-9
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