Zobrazeno 1 - 10
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pro vyhledávání: '"Charles C. Edmunds"'
Autor:
Charles C. Edmunds
Publikováno v:
Canadian Mathematical Bulletin. 58:497-506
A magma (M, *) is a nonempty set with a binary operation. A double magma (M, *, •) is a nonempty set with two binary operations satisfying the interchange law (w * x) • (y * z) = (w • y)*(x•z). We call a double magma proper if the two operati
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cd12ce3a1718b612f8270a9afc0cec55
https://doi.org/10.4153/cmb-2015-037-0
https://doi.org/10.4153/cmb-2015-037-0
Publikováno v:
Semigroup Forum. 87:467-488
For any group G with g∈G, the right and left commutation semigroups associated with g are the mappings ρ(g) and λ(g) from G to G defined as (x)ρ(g)=[x,g] and (x)λ(g)=[g,x]. The set M(G) of all mappings from G to G forms a semigroup under compos
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e884dbce4f09b6e393034c784909093b
https://doi.org/10.1007/s00233-013-9483-x
https://doi.org/10.1007/s00233-013-9483-x
Publikováno v:
Order. 27:83-100
The smallest finitely based semigroup currently known to generate a variety with continuum many subvarieties is of order seven. The present article introduces a new example of order six and comments on the possibility of the existence of a smaller ex
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c7b73c951819dbcf8ff0d8e36e1e3ebd
https://doi.org/10.1007/s11083-010-9142-8
https://doi.org/10.1007/s11083-010-9142-8
Autor:
Charles C. Edmunds
An interchange ring,$(R,+,\bullet )$, is an abelian group with a second binary operation defined so that the interchange law$(w+x)\bullet (y+z)=(w\bullet y)+(x\bullet z)$ holds. An interchange near ring is the same structure based on a group which ma
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bb1318dcb48952a4440d8086c193e1cd
http://arxiv.org/abs/1402.3699
http://arxiv.org/abs/1402.3699
Autor:
Charles C. Edmunds, Leo P. Comerford
Publikováno v:
International Journal of Algebra and Computation. :469-480
A classification of the ways in which an element of a free group can be expressed as a product of commutators or as a product of squares is given. This is then applied to some particular classes of elements. Finally, a question about expressing a com
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::93f97c862cf9e5a35a9a072b0bfa08c6
https://doi.org/10.1142/s0218196794000105
https://doi.org/10.1142/s0218196794000105
Publikováno v:
Communications in Algebra. 19:675-684
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::42acab00f75c89c576fcb42a50db93a4
https://doi.org/10.1080/00927879108824163
https://doi.org/10.1080/00927879108824163
Autor:
Leo P. Comerford, Charles C. Edmunds
Publikováno v:
Journal of Group Theory. 11
We consider equations of the form Wðx; yÞ 1⁄4 U with U an element of a free product G of groups. We show that with suitable algorithmic conditions on the free factors of G, one can e¤ectively determine whether or not the equations have solutions
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2769505522272a1afddcb496b71ad5c4
https://doi.org/10.1515/jgt.2008.009
https://doi.org/10.1515/jgt.2008.009
Publikováno v:
Canadian Mathematical Bulletin. 33:342-344
The general problem is to express an element of the derived group of a free group as a product of a minimal number of commutators. An old conjecture is settled in the negative, and a new conjecture and a number of related questions are posed.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::159ff5447d14fbcff59cac53c3b41b5e
https://doi.org/10.4153/cmb-1990-057-3
https://doi.org/10.4153/cmb-1990-057-3
The ways in which a nontrivial commutator can be a proper power in a free product of groups are identified.
AMS-LaTex, 6 pages, no figures
AMS-LaTex, 6 pages, no figures
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::23a24ae18d5bbe20c1980e62b83fe0a4
http://arxiv.org/abs/math/9310205
http://arxiv.org/abs/math/9310205
Three miniscule gospel codices held by the General Theological Seminary in New York are published in partial facsimile form, along with thorough collations and descriptions. Codices Gregory 669, 2324, and 2346 are included.