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S. M. Anvariyeh,B. Davvaz 대한수학회 2005 대한수학회보 Vol.42 No.1
The notion of $U$-exact sequence (or quasi-exact sequence) of modules was introduced by Davvaz and Parnian-Garamaleky as a generalization of exact sequences. In this paper, we prove further results about quasi-exact sequences. In particular, we give a generalization of Schanuel's Lemma. Also we obtain some relationship between quasi-exact sequences and superfluous (or essential) submodules.
ANVARIYEH, S.M.,DAVVAZ, B. Korean Mathematical Society 2005 대한수학회보 Vol.42 No.1
The notion of U-exact sequence (or quasi-exact sequence) of modules was introduced by Davvaz and Parnian-Garamaleky as a generalization of exact sequences. In this paper, we prove further results about quasi-exact sequences. In particular, we give a generalization of Schanuel's Lemma. Also we obtain some relation-ship between quasi-exact sequences and superfluous (or essential) submodules.
CONSTRUCTION OF AN HV-BE-ALGEBRA FROM A BE-ALGEBRA BASED ON “BEGINS LEMMA”
( R. Naghibi ),( S. M. Anvariyeh ),( S. Mirvakili ) 한국수학교육학회 2021 純粹 및 應用數學 Vol.28 No.3
In this paper, first we introduce the new class of HV-BE-algebra as a generalization of a (hyper) BE-algebra and prove some basic results and present several examples. Then, we construct the HV-BE-algebra associated to a BE-algebra (namely BL-BE-algebra) based on “Begins lemma" and investigate it.