TY  - JOUR
T1  - Monoidlerin Bruck-Reilly Genişlemelerinin İkinci Tamsayı Homolojisi
TT  - On the Second Integral Homology of Bruck-Reilly Extensions of Monoids
AU  - Yağcı, Melek
PY  - 2024
DA  - April
DO  - 10.35414/akufemubid.1343106
JF  - Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi
PB  - Afyon Kocatepe University
WT  - DergiPark
SN  - 2149-3367
SP  - 260
EP  - 265
VL  - 24
IS  - 2
LA  - tr
AB  - M bir monoid ve θ, M üzerinde bir endomorfizm olsun. N^0 negatif olmayan tamsayıların kümesi, r=max{n,p} ve θ^0, M üzerinde birim dönüşüm olmak üzere N^0×M×N^0 kümesi (m,a,n)(p,b,q)=(m-n+r,(aθ^(r-n) )  (bθ^(r-p) ),q-p+r)ikili işlemi ile birlikte bir monoid tanımlar. Bu monoide  θ nin belirlediği  M nin Bruck-Reilly genişlemesi denir ve BR(M,θ) ile gösterilir. Bu çalışmada, bir sonlu M monoidinin Bruck-Reilly genişlemesinin ikinci tamsayı homolojisinin,  öyle bir   k∈N  içinH_2 (BR(M,θ))=H_2 (M)×Z^kolduğu gösterilmiştir.
KW  - Monoid
KW  - İkinci tamsayı homolojisi
KW  - Takdim
KW  - Bruck-Reilly Genişlemesi
N2  - Let M be a monoid and let θ be an endomorphism on M. Then the set N^0×M×N^0 where N^0 is the set of non-negative integers, is a monoid  together with the binary operation (m,a,n)(p,b,q)=(m-n+r,(aθ^(r-n) )  (bθ^(r-p) ),q-p+r)where r=max{n,p} and θ^0 is the identity map on M, which is called the  Bruck-Reilly extension of M determined by θ and denoted by BR(M,θ). In this paper, we show that the second integral homology of Bruck-Reilly extension of a finite monoid M isH_2 (BR(M,θ))=H_2 (M)×Z^kfor some k∈N.
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UR  - https://doi.org/10.35414/akufemubid.1343106
L1  - https://dergipark.org.tr/en/download/article-file/3332113
ER  -